LMFDB - Embedded newform 273.2.cd.d.44.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 9]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{12})$
Coefficient field:	$\Q(\zeta_{24})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{4} + 1 $ x^8 - x^4 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			44.2
Root			$-0.258819 - 0.965926i$ of defining polynomial
Character	$\chi$	$=$	273.44
Dual form			273.2.cd.d.242.2

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 - 0.258819i) q^{2} +(-1.33195 + 1.10721i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.565826 + 0.151613i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(-2.38014 - 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(0.548188 - 2.94949i) q^{9} +O(q^{10})$	\(q+(0.965926 - 0.258819i) q^{2} +(-1.33195 + 1.10721i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.565826 + 0.151613i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(-2.38014 - 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(0.548188 - 2.94949i) q^{9} +(-0.507306 + 0.292893i) q^{10} +(-5.62983 - 1.50851i) q^{11} +(0.599900 - 1.62484i) q^{12} +(2.00000 - 3.00000i) q^{13} +(-2.59808 - 0.500000i) q^{14} +(0.585786 - 0.828427i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.914214 + 1.58346i) q^{17} +(-0.233875 - 2.99087i) q^{18} +(1.72292 + 6.43003i) q^{19} +(0.414214 - 0.414214i) q^{20} +(4.44949 - 1.09638i) q^{21} -5.82843 q^{22} +(-3.29289 + 5.70346i) q^{23} +(0.476756 - 5.17423i) q^{24} +(-4.03295 + 2.32843i) q^{25} +(1.15539 - 3.41542i) q^{26} +(2.53553 + 4.53553i) q^{27} +(2.63896 - 0.189469i) q^{28} +1.00000i q^{29} +(0.351414 - 0.951812i) q^{30} +(-0.800199 - 0.214413i) q^{31} +(1.29410 - 4.82963i) q^{32} +(9.16889 - 4.22412i) q^{33} +(1.29289 + 1.29289i) q^{34} +(1.52192 + 0.292893i) q^{35} +(1.00000 + 2.82843i) q^{36} +(-3.86370 + 1.03528i) q^{37} +(3.32843 + 5.76500i) q^{38} +(0.657717 + 6.21027i) q^{39} +(0.878680 - 1.52192i) q^{40} +(-4.00000 - 4.00000i) q^{41} +(4.01411 - 2.21063i) q^{42} -6.00000i q^{43} +(5.62983 - 1.50851i) q^{44} +(0.137001 + 1.75201i) q^{45} +(-1.70453 + 6.36138i) q^{46} +(-0.170006 - 0.634472i) q^{47} +(-0.292893 - 1.70711i) q^{48} +(4.33013 + 5.50000i) q^{49} +(-3.29289 + 3.29289i) q^{50} +(-2.97091 - 1.09687i) q^{51} +(-0.232051 + 3.59808i) q^{52} +(7.49706 - 4.32843i) q^{53} +(3.62302 + 3.72474i) q^{54} +3.41421 q^{55} +(7.50000 - 2.59808i) q^{56} +(-9.41421 - 6.65685i) q^{57} +(0.258819 + 0.965926i) q^{58} +(9.16208 + 2.45497i) q^{59} +(-0.0930924 + 1.01033i) q^{60} +(0.500000 - 0.866025i) q^{61} -0.828427 q^{62} +(-4.71259 + 6.38682i) q^{63} -7.00000i q^{64} +(-0.676814 + 2.00070i) q^{65} +(7.76318 - 6.45327i) q^{66} +(-13.0258 - 3.49025i) q^{67} +(-1.58346 - 0.914214i) q^{68} +(-1.92893 - 11.2426i) q^{69} +(1.54587 - 0.110988i) q^{70} +(-0.464466 - 0.464466i) q^{71} +(5.09393 + 7.41970i) q^{72} +(-3.32024 + 12.3913i) q^{73} +(-3.46410 + 2.00000i) q^{74} +(2.79365 - 7.56666i) q^{75} +(-4.70711 - 4.70711i) q^{76} +(11.6569 + 10.0951i) q^{77} +(2.24264 + 5.82843i) q^{78} +(-0.707107 + 1.22474i) q^{79} +(0.151613 - 0.565826i) q^{80} +(-8.39898 - 3.23375i) q^{81} +(-4.89898 - 2.82843i) q^{82} +(-3.07107 - 3.07107i) q^{83} +(-3.30518 + 3.17423i) q^{84} +(-0.757359 - 0.757359i) q^{85} +(-1.55291 - 5.79555i) q^{86} +(-1.10721 - 1.33195i) q^{87} +(15.1427 - 8.74264i) q^{88} +(-3.23143 - 12.0599i) q^{89} +(0.585786 + 1.65685i) q^{90} +(-8.22646 + 4.82963i) q^{91} -6.58579i q^{92} +(1.30323 - 0.600398i) q^{93} +(-0.328427 - 0.568852i) q^{94} +(-1.94975 - 3.37706i) q^{95} +(3.62372 + 7.86566i) q^{96} +(-7.00000 + 7.00000i) q^{97} +(5.60609 + 4.19187i) q^{98} +(-7.53553 + 15.7782i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6}+O(q^{10}) $ 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6	$ 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6} - 8 q^{11} + 4 q^{12} + 16 q^{13} + 16 q^{15} - 4 q^{16} - 4 q^{17} - 8 q^{18} - 16 q^{19} - 8 q^{20} + 16 q^{21} - 24 q^{22} - 32 q^{23} - 8 q^{27} + 4 q^{30} - 8 q^{31} + 16 q^{33} + 16 q^{34} + 8 q^{36} + 4 q^{38} + 20 q^{39} + 24 q^{40} - 32 q^{41} + 20 q^{42} + 8 q^{44} + 12 q^{45} - 4 q^{46} + 16 q^{47} - 8 q^{48} - 32 q^{50} + 12 q^{51} + 12 q^{52} + 16 q^{55} + 60 q^{56} - 64 q^{57} + 24 q^{59} - 8 q^{60} + 4 q^{61} + 16 q^{62} - 8 q^{63} + 20 q^{65} - 4 q^{66} - 24 q^{67} - 72 q^{69} - 16 q^{70} - 32 q^{71} - 24 q^{72} + 8 q^{73} + 12 q^{75} - 32 q^{76} + 48 q^{77} - 16 q^{78} + 4 q^{80} - 28 q^{81} + 32 q^{83} - 40 q^{85} - 4 q^{87} + 24 q^{89} + 16 q^{90} + 16 q^{93} + 20 q^{94} + 24 q^{95} - 20 q^{96} - 56 q^{97} - 32 q^{99}+O(q^{100}) $ 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6 - 8 * q^11 + 4 * q^12 + 16 * q^13 + 16 * q^15 - 4 * q^16 - 4 * q^17 - 8 * q^18 - 16 * q^19 - 8 * q^20 + 16 * q^21 - 24 * q^22 - 32 * q^23 - 8 * q^27 + 4 * q^30 - 8 * q^31 + 16 * q^33 + 16 * q^34 + 8 * q^36 + 4 * q^38 + 20 * q^39 + 24 * q^40 - 32 * q^41 + 20 * q^42 + 8 * q^44 + 12 * q^45 - 4 * q^46 + 16 * q^47 - 8 * q^48 - 32 * q^50 + 12 * q^51 + 12 * q^52 + 16 * q^55 + 60 * q^56 - 64 * q^57 + 24 * q^59 - 8 * q^60 + 4 * q^61 + 16 * q^62 - 8 * q^63 + 20 * q^65 - 4 * q^66 - 24 * q^67 - 72 * q^69 - 16 * q^70 - 32 * q^71 - 24 * q^72 + 8 * q^73 + 12 * q^75 - 32 * q^76 + 48 * q^77 - 16 * q^78 + 4 * q^80 - 28 * q^81 + 32 * q^83 - 40 * q^85 - 4 * q^87 + 24 * q^89 + 16 * q^90 + 16 * q^93 + 20 * q^94 + 24 * q^95 - 20 * q^96 - 56 * q^97 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.965926	−	0.258819i	0.683013	−	0.183013i	0.0994033	−	0.995047i	$-0.468307\pi$
$2$	0.965926	−	0.258819i	0.683013	−	0.183013i	0.583609	+	0.812035i	$0.301640\pi$
$3$	−1.33195	+	1.10721i	−0.769002	+	0.639246i
$3$	−1.33195	+	1.10721i	−0.769002	+	0.639246i
$4$	−0.866025	+	0.500000i	−0.433013	+	0.250000i
$5$	−0.565826	+	0.151613i	−0.253045	+	0.0678033i	−0.383112	−	0.923702i	$-0.625148\pi$
$5$	−0.565826	+	0.151613i	−0.253045	+	0.0678033i	0.130067	+	0.991505i	$0.458481\pi$
$6$	−1.00000	+	1.41421i	−0.408248	+	0.577350i
$7$	−2.38014	−	1.15539i	−0.899608	−	0.436698i
$7$	−2.38014	−	1.15539i	−0.899608	−	0.436698i
$8$	−2.12132	+	2.12132i	−0.750000	+	0.750000i
$9$	0.548188	−	2.94949i	0.182729	−	0.983163i
$10$	−0.507306	+	0.292893i	−0.160424	+	0.0926210i
$11$	−5.62983	−	1.50851i	−1.69746	−	0.454832i	−0.725160	−	0.688580i	$-0.758234\pi$
$11$	−5.62983	−	1.50851i	−1.69746	−	0.454832i	−0.972297	+	0.233748i	$0.924901\pi$
$12$	0.599900	−	1.62484i	0.173176	−	0.469052i
$13$	2.00000	−	3.00000i	0.554700	−	0.832050i
$13$	2.00000	−	3.00000i	0.554700	−	0.832050i
$14$	−2.59808	−	0.500000i	−0.694365	−	0.133631i
$15$	0.585786	−	0.828427i	0.151249	−	0.213899i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	0.914214	+	1.58346i	0.221729	+	0.384047i	0.955333	−	0.295531i	$-0.0954965\pi$
$17$	0.914214	+	1.58346i	0.221729	+	0.384047i	−0.733604	+	0.679577i	$0.762163\pi$
$18$	−0.233875	−	2.99087i	−0.0551249	−	0.704955i
$19$	1.72292	+	6.43003i	0.395265	+	1.47515i	0.821328	+	0.570456i	$0.193233\pi$
$19$	1.72292	+	6.43003i	0.395265	+	1.47515i	−0.426063	+	0.904693i	$0.640100\pi$
$20$	0.414214	−	0.414214i	0.0926210	−	0.0926210i
$21$	4.44949	−	1.09638i	0.970958	−	0.239249i
$22$	−5.82843			−1.24262
$23$	−3.29289	+	5.70346i	−0.686616	+	1.18925i	0.286310	+	0.958137i	$0.407571\pi$
$23$	−3.29289	+	5.70346i	−0.686616	+	1.18925i	−0.972926	+	0.231116i	$0.925762\pi$
$24$	0.476756	−	5.17423i	0.0973174	−	1.05619i
$25$	−4.03295	+	2.32843i	−0.806591	+	0.465685i
$26$	1.15539	−	3.41542i	0.226592	−	0.669818i
$27$	2.53553	+	4.53553i	0.487964	+	0.872864i
$28$	2.63896	−	0.189469i	0.498716	−	0.0358062i
$29$			1.00000i			0.185695i	0.995680	+	0.0928477i	$0.0295970\pi$
$29$			1.00000i			0.185695i	−0.995680	+	0.0928477i	$0.970403\pi$
$30$	0.351414	−	0.951812i	0.0641590	−	0.173776i
$31$	−0.800199	−	0.214413i	−0.143720	−	0.0385097i	0.186242	−	0.982504i	$-0.440369\pi$
$31$	−0.800199	−	0.214413i	−0.143720	−	0.0385097i	−0.329962	+	0.943994i	$0.607036\pi$
$32$	1.29410	−	4.82963i	0.228766	−	0.853766i
$33$	9.16889	−	4.22412i	1.59610	−	0.735325i
$34$	1.29289	+	1.29289i	0.221729	+	0.221729i
$35$	1.52192	+	0.292893i	0.257251	+	0.0495080i
$36$	1.00000	+	2.82843i	0.166667	+	0.471405i
$37$	−3.86370	+	1.03528i	−0.635189	+	0.170198i	−0.562023	−	0.827121i	$-0.689977\pi$
$37$	−3.86370	+	1.03528i	−0.635189	+	0.170198i	−0.0731657	+	0.997320i	$0.523310\pi$
$38$	3.32843	+	5.76500i	0.539942	+	0.935207i
$39$	0.657717	+	6.21027i	0.105319	+	0.994438i
$40$	0.878680	−	1.52192i	0.138931	−	0.240636i
$41$	−4.00000	−	4.00000i	−0.624695	−	0.624695i	0.322033	−	0.946728i	$-0.395634\pi$
$41$	−4.00000	−	4.00000i	−0.624695	−	0.624695i	−0.946728	+	0.322033i	$0.895634\pi$
$42$	4.01411	−	2.21063i	0.619391	−	0.341108i
$43$		−	6.00000i		−	0.914991i	−0.889212	−	0.457496i	$-0.848747\pi$
$43$		−	6.00000i		−	0.914991i	0.889212	−	0.457496i	$-0.151253\pi$
$44$	5.62983	−	1.50851i	0.848729	−	0.227416i
$45$	0.137001	+	1.75201i	0.0204229	+	0.261174i
$46$	−1.70453	+	6.36138i	−0.251319	+	0.937934i
$47$	−0.170006	−	0.634472i	−0.0247980	−	0.0925473i	0.952418	−	0.304796i	$-0.0985881\pi$
$47$	−0.170006	−	0.634472i	−0.0247980	−	0.0925473i	−0.977216	+	0.212248i	$0.931921\pi$
$48$	−0.292893	−	1.70711i	−0.0422755	−	0.246400i
$49$	4.33013	+	5.50000i	0.618590	+	0.785714i
$50$	−3.29289	+	3.29289i	−0.465685	+	0.465685i
$51$	−2.97091	−	1.09687i	−0.416011	−	0.153593i
$52$	−0.232051	+	3.59808i	−0.0321797	+	0.498963i
$53$	7.49706	−	4.32843i	1.02980	−	0.594555i	0.112872	−	0.993609i	$-0.463995\pi$
$53$	7.49706	−	4.32843i	1.02980	−	0.594555i	0.916927	+	0.399054i	$0.130662\pi$
$54$	3.62302	+	3.72474i	0.493031	+	0.506874i
$55$	3.41421			0.460372
$56$	7.50000	−	2.59808i	1.00223	−	0.347183i
$57$	−9.41421	−	6.65685i	−1.24694	−	0.881722i
$58$	0.258819	+	0.965926i	0.0339846	+	0.126832i
$59$	9.16208	+	2.45497i	1.19280	+	0.319610i	0.799992	−	0.600010i	$-0.204837\pi$
$59$	9.16208	+	2.45497i	1.19280	+	0.319610i	0.392809	+	0.919620i	$0.371503\pi$
$60$	−0.0930924	+	1.01033i	−0.0120182	+	0.130433i
$61$	0.500000	−	0.866025i	0.0640184	−	0.110883i	−0.832240	−	0.554416i	$-0.812942\pi$
$61$	0.500000	−	0.866025i	0.0640184	−	0.110883i	0.896258	+	0.443533i	$0.146275\pi$
$62$	−0.828427			−0.105210
$63$	−4.71259	+	6.38682i	−0.593730	+	0.804664i
$64$		−	7.00000i		−	0.875000i
$65$	−0.676814	+	2.00070i	−0.0839485	+	0.248157i
$66$	7.76318	−	6.45327i	0.955581	−	0.794343i
$67$	−13.0258	−	3.49025i	−1.59135	−	0.426402i	−0.648936	−	0.760843i	$-0.724786\pi$
$67$	−13.0258	−	3.49025i	−1.59135	−	0.426402i	−0.942417	+	0.334441i	$0.891452\pi$
$68$	−1.58346	−	0.914214i	−0.192023	−	0.110865i
$69$	−1.92893	−	11.2426i	−0.232216	−	1.35345i
$70$	1.54587	−	0.110988i	0.184766	−	0.0132656i
$71$	−0.464466	−	0.464466i	−0.0551220	−	0.0551220i	0.679008	−	0.734130i	$-0.262410\pi$
$71$	−0.464466	−	0.464466i	−0.0551220	−	0.0551220i	−0.734130	+	0.679008i	$0.762410\pi$
$72$	5.09393	+	7.41970i	0.600325	+	0.874419i
$73$	−3.32024	+	12.3913i	−0.388605	+	1.45029i	0.443800	+	0.896126i	$0.353630\pi$
$73$	−3.32024	+	12.3913i	−0.388605	+	1.45029i	−0.832405	+	0.554167i	$0.813037\pi$
$74$	−3.46410	+	2.00000i	−0.402694	+	0.232495i
$75$	2.79365	−	7.56666i	0.322583	−	0.873723i
$76$	−4.70711	−	4.70711i	−0.539942	−	0.539942i
$77$	11.6569	+	10.0951i	1.32842	+	1.15045i
$78$	2.24264	+	5.82843i	0.253929	+	0.659939i
$79$	−0.707107	+	1.22474i	−0.0795557	+	0.137795i	−0.903058	−	0.429518i	$-0.858683\pi$
$79$	−0.707107	+	1.22474i	−0.0795557	+	0.137795i	0.823503	+	0.567312i	$0.192017\pi$
$80$	0.151613	−	0.565826i	0.0169508	−	0.0632613i
$81$	−8.39898	−	3.23375i	−0.933220	−	0.359306i
$82$	−4.89898	−	2.82843i	−0.541002	−	0.312348i
$83$	−3.07107	−	3.07107i	−0.337093	−	0.337093i	0.518179	−	0.855272i	$-0.326610\pi$
$83$	−3.07107	−	3.07107i	−0.337093	−	0.337093i	−0.855272	+	0.518179i	$0.826610\pi$
$84$	−3.30518	+	3.17423i	−0.360625	+	0.346337i
$85$	−0.757359	−	0.757359i	−0.0821472	−	0.0821472i
$86$	−1.55291	−	5.79555i	−0.167455	−	0.624951i
$87$	−1.10721	−	1.33195i	−0.118705	−	0.142800i
$88$	15.1427	−	8.74264i	1.61422	−	0.931969i
$89$	−3.23143	−	12.0599i	−0.342531	−	1.27834i	−0.895470	−	0.445121i	$-0.853161\pi$
$89$	−3.23143	−	12.0599i	−0.342531	−	1.27834i	0.552940	−	0.833221i	$-0.313506\pi$
$90$	0.585786	+	1.65685i	0.0617473	+	0.174648i
$91$	−8.22646	+	4.82963i	−0.862368	+	0.506283i
$92$		−	6.58579i		−	0.686616i
$93$	1.30323	−	0.600398i	0.135138	−	0.0622584i
$94$	−0.328427	−	0.568852i	−0.0338747	−	0.0586727i
$95$	−1.94975	−	3.37706i	−0.200040	−	0.346479i
$96$	3.62372	+	7.86566i	0.369845	+	0.802786i
$97$	−7.00000	+	7.00000i	−0.710742	+	0.710742i	−0.966691	−	0.255948i	$-0.917612\pi$
$97$	−7.00000	+	7.00000i	−0.710742	+	0.710742i	0.255948	+	0.966691i	$0.417612\pi$
$98$	5.60609	+	4.19187i	0.566300	+	0.423443i
$99$	−7.53553	+	15.7782i	−0.757350	+	1.58577i
$100$	2.32843	−	4.03295i	0.232843	−	0.403295i
$101$	−2.00000	−	3.46410i	−0.199007	−	0.344691i	0.749199	−	0.662344i	$-0.230438\pi$
$101$	−2.00000	−	3.46410i	−0.199007	−	0.344691i	−0.948207	+	0.317653i	$0.897105\pi$
$102$	−3.15357	−	0.290571i	−0.312250	−	0.0287708i
$103$	−5.61642	−	3.24264i	−0.553402	−	0.319507i	0.197091	−	0.980385i	$-0.436851\pi$
$103$	−5.61642	−	3.24264i	−0.553402	−	0.319507i	−0.750493	+	0.660878i	$0.770184\pi$
$104$	2.12132	+	10.6066i	0.208013	+	1.04006i
$105$	−2.35141	+	1.29496i	−0.229474	+	0.126375i
$106$	6.12132	−	6.12132i	0.594555	−	0.594555i
$107$	−5.91359	−	3.41421i	−0.571688	−	0.330064i	0.186135	−	0.982524i	$-0.440404\pi$
$107$	−5.91359	−	3.41421i	−0.571688	−	0.330064i	−0.757823	+	0.652460i	$0.773737\pi$
$108$	−4.46360	−	2.66012i	−0.429510	−	0.255970i
$109$	7.16158	+	1.91894i	0.685955	+	0.183801i	0.584931	−	0.811083i	$-0.301122\pi$
$109$	7.16158	+	1.91894i	0.685955	+	0.183801i	0.101024	+	0.994884i	$0.467788\pi$
$110$	3.29788	−	0.883663i	0.314440	−	0.0842540i
$111$	4.00000	−	5.65685i	0.379663	−	0.536925i
$112$	2.19067	−	1.48356i	0.206999	−	0.140184i
$113$			9.00000i			0.846649i	0.905978	+	0.423324i	$0.139137\pi$
$113$			9.00000i			0.846649i	−0.905978	+	0.423324i	$0.860863\pi$
$114$	−10.8164	−	3.99345i	−1.01304	−	0.374021i
$115$	0.998489	−	3.72641i	0.0931096	−	0.347490i
$116$	−0.500000	−	0.866025i	−0.0464238	−	0.0804084i
$117$	−7.75209	−	7.54354i	−0.716681	−	0.697401i
$118$	9.48528			0.873191
$119$	−0.346430	−	4.82514i	−0.0317572	−	0.442320i
$120$	0.514719	+	3.00000i	0.0469872	+	0.273861i
$121$	19.8931	+	11.4853i	1.80846	+	1.04412i
$122$	0.258819	−	0.965926i	0.0234324	−	0.0874508i
$123$	9.75663	+	0.898979i	0.879726	+	0.0810583i
$124$	0.800199	−	0.214413i	0.0718600	−	0.0192548i
$125$	4.00000	−	4.00000i	0.357771	−	0.357771i
$126$	−2.89898	+	7.38891i	−0.258262	+	0.658256i
$127$			16.1421i			1.43238i	0.697904	+	0.716191i	$0.254116\pi$
$127$			16.1421i			1.43238i	−0.697904	+	0.716191i	$0.745884\pi$
$128$	0.776457	+	2.89778i	0.0686298	+	0.256130i
$129$	6.64324	+	7.99171i	0.584905	+	0.703631i
$130$	−0.135932	+	2.10770i	−0.0119220	+	0.184858i
$131$	11.1097	+	6.41421i	0.970663	+	0.560412i	0.899438	−	0.437048i	$-0.143976\pi$
$131$	11.1097	+	6.41421i	0.970663	+	0.560412i	0.0712246	+	0.997460i	$0.477309\pi$
$132$	−5.82843	+	8.24264i	−0.507299	+	0.717430i
$133$	3.32843	−	17.2950i	0.288611	−	1.49967i
$134$	−13.4853			−1.16495
$135$	−2.12232	−	2.18191i	−0.182660	−	0.187788i
$136$	−5.29837	−	1.41970i	−0.454332	−	0.121738i
$137$	−11.0253	−	2.95422i	−0.941954	−	0.252396i	−0.245009	−	0.969521i	$-0.578791\pi$
$137$	−11.0253	−	2.95422i	−0.941954	−	0.252396i	−0.696944	+	0.717125i	$0.745458\pi$
$138$	−4.77301	−	10.3603i	−0.406306	−	0.881928i
$139$	2.92893			0.248429			0.124214	−	0.992255i	$-0.460359\pi$
$139$	2.92893			0.248429			0.124214	+	0.992255i	$0.460359\pi$
$140$	−1.46447	+	0.507306i	−0.123770	+	0.0428752i
$141$	0.928932	+	0.656854i	0.0782302	+	0.0553171i
$142$	−0.568852	−	0.328427i	−0.0477370	−	0.0275610i
$143$	−15.7852	+	13.8725i	−1.32002	+	1.16007i
$144$	2.28024	+	1.94949i	0.190020	+	0.162457i
$145$	−0.151613	−	0.565826i	−0.0125907	−	0.0469893i
$146$			12.8284i			1.06169i
$147$	−11.8572	−	2.53139i	−0.977961	−	0.208785i
$148$	2.82843	−	2.82843i	0.232495	−	0.232495i
$149$	−13.9917	+	3.74907i	−1.14625	+	0.307136i	−0.781460	−	0.623956i	$-0.785524\pi$
$149$	−13.9917	+	3.74907i	−1.14625	+	0.307136i	−0.364786	+	0.931091i	$0.618858\pi$
$150$	0.740061	−	8.03189i	0.0604257	−	0.655801i
$151$	5.13197	−	19.1528i	0.417634	−	1.55863i	−0.361866	−	0.932230i	$-0.617860\pi$
$151$	5.13197	−	19.1528i	0.417634	−	1.55863i	0.779500	−	0.626402i	$-0.215473\pi$
$152$	−17.2950	−	9.98528i	−1.40281	−	0.809913i
$153$	5.17157	−	1.82843i	0.418097	−	0.147820i
$154$	13.8725	+	6.73413i	1.11788	+	0.542652i
$155$	0.485281			0.0389787
$156$	−3.67473	−	5.04939i	−0.294214	−	0.404275i
$157$	0.914214	+	1.58346i	0.0729622	+	0.126374i	0.900198	−	0.435480i	$-0.143421\pi$
$157$	0.914214	+	1.58346i	0.0729622	+	0.126374i	−0.827236	+	0.561854i	$0.810088\pi$
$158$	−0.366025	+	1.36603i	−0.0291194	+	0.108675i
$159$	−5.19325	+	14.0660i	−0.411852	+	1.11551i
$160$			2.92893i			0.231552i
$161$	14.4273	−	9.77044i	1.13703	−	0.770018i
$162$	−8.94975	−	0.949747i	−0.703159	−	0.0746192i
$163$	−2.09758	+	0.562044i	−0.164295	+	0.0440227i	−0.340029	−	0.940415i	$-0.610437\pi$
$163$	−2.09758	+	0.562044i	−0.164295	+	0.0440227i	0.175734	+	0.984438i	$0.443770\pi$
$164$	5.46410	+	1.46410i	0.426675	+	0.114327i
$165$	−4.54757	+	3.78024i	−0.354028	+	0.294291i
$166$	−3.76127	−	2.17157i	−0.291932	−	0.168547i
$167$	−15.5355	+	15.5355i	−1.20218	+	1.20218i	−0.228672	+	0.973503i	$0.573438\pi$
$167$	−15.5355	+	15.5355i	−1.20218	+	1.20218i	−0.973503	+	0.228672i	$0.926562\pi$
$168$	−7.11303	+	11.7646i	−0.548782	+	0.907655i
$169$	−5.00000	−	12.0000i	−0.384615	−	0.923077i
$170$	−0.927572	−	0.535534i	−0.0711415	−	0.0410736i
$171$	19.9098	−	1.55687i	1.52254	−	0.119057i
$172$	3.00000	+	5.19615i	0.228748	+	0.396203i
$173$	7.74264	−	13.4106i	0.588662	−	1.01959i	−0.405746	−	0.913986i	$-0.632988\pi$
$173$	7.74264	−	13.4106i	0.588662	−	1.01959i	0.994408	−	0.105607i	$-0.0336785\pi$
$174$	−1.41421	−	1.00000i	−0.107211	−	0.0758098i
$175$	12.2892	−	0.882328i	0.928980	−	0.0666977i
$176$	4.12132	−	4.12132i	0.310656	−	0.310656i
$177$	−14.9216	+	6.87441i	−1.12158	+	0.516712i
$178$	−6.24264	−	10.8126i	−0.467906	−	0.810436i
$179$	−0.757359	−	1.31178i	−0.0566077	−	0.0980474i	0.836333	−	0.548222i	$-0.184695\pi$
$179$	−0.757359	−	1.31178i	−0.0566077	−	0.0980474i	−0.892941	+	0.450175i	$0.851362\pi$
$180$	−0.994652	−	1.44879i	−0.0741370	−	0.107986i
$181$			9.14214i			0.679530i	0.940510	+	0.339765i	$0.110347\pi$
$181$			9.14214i			0.679530i	−0.940510	+	0.339765i	$0.889653\pi$
$182$	−6.69615	+	6.79423i	−0.496352	+	0.503622i
$183$	0.292893	+	1.70711i	0.0216513	+	0.126193i
$184$	−5.11358	−	19.0841i	−0.376978	−	1.40690i
$185$	2.02922	−	1.17157i	0.149191	−	0.0861358i
$186$	1.10342	−	0.917240i	0.0809070	−	0.0672553i
$187$	−2.75820	−	10.2937i	−0.201699	−	0.752752i
$188$	0.464466	+	0.464466i	0.0338747	+	0.0338747i
$189$	−0.794593	−	13.7247i	−0.0577981	−	0.998328i
$190$	−2.75736	−	2.75736i	−0.200040	−	0.200040i
$191$	14.6969	+	8.48528i	1.06343	+	0.613973i	0.926380	−	0.376590i	$-0.122904\pi$
$191$	14.6969	+	8.48528i	1.06343	+	0.613973i	0.137053	+	0.990564i	$0.456237\pi$
$192$	7.75044	+	9.32366i	0.559340	+	0.672877i
$193$	−0.732051	+	2.73205i	−0.0526942	+	0.196657i	−0.987255	−	0.159146i	$-0.949126\pi$
$193$	−0.732051	+	2.73205i	−0.0526942	+	0.196657i	0.934561	+	0.355803i	$0.115793\pi$
$194$	−4.94975	+	8.57321i	−0.355371	+	0.615521i
$195$	−1.31371	−	3.41421i	−0.0940766	−	0.244497i
$196$	−6.50000	−	2.59808i	−0.464286	−	0.185577i
$197$	5.00000	+	5.00000i	0.356235	+	0.356235i	0.862423	−	0.506188i	$-0.168946\pi$
$197$	5.00000	+	5.00000i	0.356235	+	0.356235i	−0.506188	+	0.862423i	$0.668946\pi$
$198$	−3.19507	+	17.1909i	−0.227064	+	1.22170i
$199$	−13.0519	+	7.53553i	−0.925227	+	0.534180i	−0.885299	−	0.465023i	$-0.846046\pi$
$199$	−13.0519	+	7.53553i	−0.925227	+	0.534180i	−0.0399279	+	0.999203i	$0.512713\pi$
$200$	3.61585	−	13.4945i	0.255679	−	0.954207i
$201$	21.2141	−	9.77339i	1.49633	−	0.689362i
$202$	−2.82843	−	2.82843i	−0.199007	−	0.199007i
$203$	1.15539	−	2.38014i	0.0810928	−	0.167053i
$204$	3.12132	−	0.535534i	0.218536	−	0.0374949i
$205$	2.86976	+	1.65685i	0.200432	+	0.115720i
$206$	−6.26430	−	1.67851i	−0.436455	−	0.116948i
$207$	15.0172	+	12.8389i	1.04377	+	0.892367i
$208$	1.59808	+	3.23205i	0.110807	+	0.224102i
$209$		−	38.7990i		−	2.68378i
$210$	−1.93613	+	1.85942i	−0.133606	+	0.128312i
$211$	−15.0711			−1.03754			−0.518768	−	0.854915i	$-0.673609\pi$
$211$	−15.0711			−1.03754			−0.518768	+	0.854915i	$0.673609\pi$
$212$	−4.32843	+	7.49706i	−0.297278	+	0.514900i
$213$	1.13291	+	0.104386i	0.0776254	+	0.00715244i
$214$	−6.59575	−	1.76733i	−0.450876	−	0.120812i
$215$	0.909676	+	3.39496i	0.0620394	+	0.231534i
$216$	−15.0000	−	4.24264i	−1.02062	−	0.288675i
$217$	1.65685	+	1.43488i	0.112475	+	0.0974059i
$218$	7.41421			0.502154
$219$	−9.29734	−	20.1808i	−0.628256	−	1.36369i
$220$	−2.95680	+	1.70711i	−0.199347	+	0.115093i
$221$	6.57882	+	0.424288i	0.442539	+	0.0285407i
$222$	2.39960	−	6.49938i	0.161051	−	0.436210i
$223$	−3.53553	+	3.53553i	−0.236757	+	0.236757i	−0.815506	−	0.578749i	$-0.803541\pi$
$223$	−3.53553	+	3.53553i	−0.236757	+	0.236757i	0.578749	+	0.815506i	$0.303541\pi$
$224$	−8.66025	+	10.0000i	−0.578638	+	0.668153i
$225$	4.65685	+	13.1716i	0.310457	+	0.878105i
$226$	2.32937	+	8.69333i	0.154947	+	0.578272i
$227$	1.55291	−	5.79555i	0.103071	−	0.384664i	−0.895049	−	0.445969i	$-0.852859\pi$
$227$	1.55291	−	5.79555i	0.103071	−	0.384664i	0.998119	+	0.0613041i	$0.0195260\pi$
$228$	11.4814	+	1.05790i	0.760373	+	0.0700610i
$229$	5.32681	−	1.42731i	0.352005	−	0.0943196i	−0.0784835	−	0.996915i	$-0.525008\pi$
$229$	5.32681	−	1.42731i	0.352005	−	0.0943196i	0.430489	+	0.902596i	$0.358341\pi$
$230$		−	3.85786i		−	0.254380i
$231$	−26.7038	−	0.539680i	−1.75698	−	0.0355084i
$232$	−2.12132	−	2.12132i	−0.139272	−	0.139272i
$233$	0.671573	−	1.16320i	0.0439962	−	0.0762037i	−0.843189	−	0.537618i	$-0.819324\pi$
$233$	0.671573	−	1.16320i	0.0439962	−	0.0762037i	0.887185	+	0.461414i	$0.152658\pi$
$234$	−9.44036	−	5.28011i	−0.617136	−	0.345172i
$235$	0.192388	+	0.333226i	0.0125500	+	0.0217373i
$236$	−9.16208	+	2.45497i	−0.596400	+	0.159805i
$237$	−0.414214	−	2.41421i	−0.0269061	−	0.156820i
$238$	−1.58346	−	4.57107i	−0.102641	−	0.296298i
$239$	4.46447	+	4.46447i	0.288782	+	0.288782i	0.836599	−	0.547816i	$-0.184541\pi$
$239$	4.46447	+	4.46447i	0.288782	+	0.288782i	−0.547816	+	0.836599i	$0.684541\pi$
$240$	0.424546	+	0.921519i	0.0274043	+	0.0594838i
$241$	−5.75682	+	21.4847i	−0.370829	+	1.38395i	0.488515	+	0.872556i	$0.337539\pi$
$241$	−5.75682	+	21.4847i	−0.370829	+	1.38395i	−0.859344	+	0.511398i	$0.829128\pi$
$242$	22.1879	+	5.94522i	1.42629	+	0.382173i
$243$	14.7675	−	4.99221i	0.947333	−	0.320250i
$244$			1.00000i			0.0640184i
$245$	−3.28397	−	2.45554i	−0.209805	−	0.156879i
$246$	9.65685	−	1.65685i	0.615699	−	0.105637i
$247$	22.7359	+	7.69129i	1.44665	+	0.489385i
$248$	2.15232	−	1.24264i	0.136672	−	0.0789078i
$249$	7.49082	+	0.690207i	0.474711	+	0.0437401i
$250$	2.82843	−	4.89898i	0.178885	−	0.309839i
$251$	2.00000			0.126239			0.0631194	−	0.998006i	$-0.479895\pi$
$251$	2.00000			0.126239			0.0631194	+	0.998006i	$0.479895\pi$
$252$	0.887810	−	7.88745i	0.0559268	−	0.496862i
$253$	27.1421	−	27.1421i	1.70641	−	1.70641i
$254$	4.17789	+	15.5921i	0.262144	+	0.978336i
$255$	1.84732	+	0.170213i	0.115684	+	0.0106591i
$256$	8.50000	+	14.7224i	0.531250	+	0.920152i
$257$	−9.41421	+	16.3059i	−0.587243	+	1.01713i	0.407349	+	0.913272i	$0.366453\pi$
$257$	−9.41421	+	16.3059i	−0.587243	+	1.01713i	−0.994592	+	0.103861i	$0.966880\pi$
$258$	8.48528	+	6.00000i	0.528271	+	0.373544i
$259$	10.3923	+	2.00000i	0.645746	+	0.124274i
$260$	−0.414214	−	2.07107i	−0.0256884	−	0.128442i
$261$	2.94949	+	0.548188i	0.182569	+	0.0339320i
$262$	12.3913	+	3.32024i	0.765538	+	0.205125i
$263$	−17.7408	+	10.2426i	−1.09394	+	0.631588i	−0.934623	−	0.355639i	$-0.884263\pi$
$263$	−17.7408	+	10.2426i	−1.09394	+	0.631588i	−0.159320	+	0.987227i	$0.550930\pi$
$264$	−10.4894	+	28.4109i	−0.645580	+	1.74857i
$265$	−3.58579	+	3.58579i	−0.220273	+	0.220273i
$266$	−1.26127	−	17.5672i	−0.0773331	−	1.07711i
$267$	17.6569	+	12.4853i	1.08058	+	0.764087i
$268$	13.0258	−	3.49025i	0.795676	−	0.213201i
$269$	6.06218	−	3.50000i	0.369618	−	0.213399i	−0.303674	−	0.952776i	$-0.598213\pi$
$269$	6.06218	−	3.50000i	0.369618	−	0.213399i	0.673291	+	0.739377i	$0.264880\pi$
$270$	−2.61472	−	1.55826i	−0.159127	−	0.0948328i
$271$	4.02943	−	1.07968i	0.244770	−	0.0655860i	−0.134348	−	0.990934i	$-0.542894\pi$
$271$	4.02943	−	1.07968i	0.244770	−	0.0655860i	0.379118	+	0.925348i	$0.376227\pi$
$272$	−1.82843			−0.110865
$273$	5.60985	−	15.5412i	0.339524	−	0.940598i
$274$	−11.4142			−0.689558
$275$	26.2173	−	7.02490i	1.58096	−	0.423618i
$276$	7.29182	+	8.77195i	0.438916	+	0.528009i
$277$	−3.31552	+	1.91421i	−0.199210	+	0.115014i	−0.596287	−	0.802771i	$-0.703358\pi$
$277$	−3.31552	+	1.91421i	−0.199210	+	0.115014i	0.397077	+	0.917785i	$0.370025\pi$
$278$	2.82913	−	0.758063i	0.169680	−	0.0454656i
$279$	−1.07107	+	2.24264i	−0.0641232	+	0.134263i
$280$	−3.84980	+	2.60715i	−0.230069	+	0.155807i
$281$	8.07107	−	8.07107i	0.481480	−	0.481480i	−0.424124	−	0.905604i	$-0.639418\pi$
$281$	8.07107	−	8.07107i	0.481480	−	0.481480i	0.905604	+	0.424124i	$0.139418\pi$
$282$	1.06729	+	0.394047i	0.0635560	+	0.0234652i
$283$	15.4144	−	8.89949i	0.916290	−	0.529020i	0.0338402	−	0.999427i	$-0.489226\pi$
$283$	15.4144	−	8.89949i	0.916290	−	0.529020i	0.882449	+	0.470407i	$0.155893\pi$
$284$	0.634472	+	0.170006i	0.0376490	+	0.0100880i
$285$	6.33607	+	2.33931i	0.375317	+	0.138569i
$286$	−11.6569	+	17.4853i	−0.689284	+	1.03393i
$287$	4.89898	+	14.1421i	0.289178	+	0.834784i
$288$	−13.5355	−	6.46447i	−0.797589	−	0.380922i
$289$	6.82843	−	11.8272i	0.401672	−	0.695717i
$290$	−0.292893	−	0.507306i	−0.0171993	−	0.0297900i
$291$	1.57321	−	17.0741i	0.0922234	−	1.00090i
$292$	−3.32024	−	12.3913i	−0.194302	−	0.725147i
$293$	9.14214	−	9.14214i	0.534089	−	0.534089i	−0.387697	−	0.921787i	$-0.626729\pi$
$293$	9.14214	−	9.14214i	0.534089	−	0.534089i	0.921787	+	0.387697i	$0.126729\pi$
$294$	−12.1083	+	0.623724i	−0.706170	+	0.0363763i
$295$	−5.55635			−0.323503
$296$	6.00000	−	10.3923i	0.348743	−	0.604040i
$297$	−7.43273	−	29.3592i	−0.431291	−	1.70359i
$298$	−12.5446	+	7.24264i	−0.726690	+	0.419555i
$299$	10.5246	+	21.2856i	0.608653	+	1.23098i
$300$	1.36396	+	7.94975i	0.0787483	+	0.458979i
$301$	−6.93237	+	14.2808i	−0.399575	+	0.823134i
$302$		−	19.8284i		−	1.14100i
$303$	6.49938	+	2.39960i	0.373379	+	0.137854i
$304$	−6.43003	−	1.72292i	−0.368787	−	0.0988163i
$305$	−0.151613	+	0.565826i	−0.00868132	+	0.0323991i
$306$	4.52212	−	3.10463i	0.258513	−	0.177480i
$307$	3.53553	+	3.53553i	0.201784	+	0.201784i	0.800764	−	0.598980i	$-0.204427\pi$
$307$	3.53553	+	3.53553i	0.201784	+	0.201784i	−0.598980	+	0.800764i	$0.704427\pi$
$308$	−15.1427	−	2.91421i	−0.862835	−	0.166053i
$309$	11.0711	−	1.89949i	0.629811	−	0.108058i
$310$	0.468746	−	0.125600i	0.0266230	−	0.00713360i
$311$	0.928932	+	1.60896i	0.0526749	+	0.0912356i	0.891161	−	0.453688i	$-0.149892\pi$
$311$	0.928932	+	1.60896i	0.0526749	+	0.0912356i	−0.838486	+	0.544924i	$0.816559\pi$
$312$	−14.5692	−	11.7787i	−0.824818	−	0.666840i
$313$	−11.8284	+	20.4874i	−0.668582	+	1.15802i	0.309718	+	0.950828i	$0.399765\pi$
$313$	−11.8284	+	20.4874i	−0.668582	+	1.15802i	−0.978301	+	0.207190i	$0.933568\pi$
$314$	1.29289	+	1.29289i	0.0729622	+	0.0729622i
$315$	1.69818	−	4.32832i	0.0956818	−	0.243873i
$316$		−	1.41421i		−	0.0795557i
$317$	−16.3521	+	4.38153i	−0.918425	+	0.246091i	−0.686912	−	0.726741i	$-0.741034\pi$
$317$	−16.3521	+	4.38153i	−0.918425	+	0.246091i	−0.231513	+	0.972832i	$0.574368\pi$
$318$	−1.37574	+	14.9309i	−0.0771474	+	0.837281i
$319$	1.50851	−	5.62983i	0.0844602	−	0.315210i
$320$	1.06129	+	3.96078i	0.0593278	+	0.221415i
$321$	11.6569	−	2.00000i	0.650622	−	0.111629i
$322$	11.4069	−	13.1716i	0.635683	−	0.734023i
$323$	−8.60660	+	8.60660i	−0.478884	+	0.478884i
$324$	8.89060	−	1.39898i	0.493922	−	0.0777211i
$325$	−1.08063	+	16.7557i	−0.0599424	+	0.929440i
$326$	−1.88064	+	1.08579i	−0.104159	+	0.0601361i
$327$	−11.6635	+	5.37341i	−0.644995	+	0.297150i
$328$	16.9706			0.937043
$329$	−0.328427	+	1.70656i	−0.0181068	+	0.0940856i
$330$	−3.41421	+	4.82843i	−0.187946	+	0.265796i
$331$	−6.07082	−	22.6566i	−0.333682	−	1.24532i	−0.905291	−	0.424793i	$-0.860347\pi$
$331$	−6.07082	−	22.6566i	−0.333682	−	1.24532i	0.571608	−	0.820527i	$-0.306320\pi$
$332$	4.19516	+	1.12409i	0.230239	+	0.0616924i
$333$	0.935500	+	11.9635i	0.0512651	+	0.655595i
$334$	−10.9853	+	19.0271i	−0.601088	+	1.04111i
$335$	7.89949			0.431596
$336$	−1.27526	+	4.40156i	−0.0695709	+	0.240125i
$337$		−	17.1421i		−	0.933792i	−0.884312	−	0.466896i	$-0.845372\pi$
$337$		−	17.1421i		−	0.933792i	0.884312	−	0.466896i	$-0.154628\pi$
$338$	−7.93546	−	10.2970i	−0.431632	−	0.560084i
$339$	−9.96486	−	11.9876i	−0.541217	−	0.651075i
$340$	1.03457	+	0.277213i	0.0561075	+	0.0150340i
$341$	4.18154	+	2.41421i	0.226443	+	0.130737i
$342$	18.8284	−	6.65685i	1.01812	−	0.359961i
$343$	−3.95164	−	18.0938i	−0.213368	−	0.976972i
$344$	12.7279	+	12.7279i	0.686244	+	0.686244i
$345$	2.79597	+	6.06893i	0.150530	+	0.326740i
$346$	4.00789	−	14.9576i	0.215465	−	0.804127i
$347$	−4.05845	+	2.34315i	−0.217869	+	0.125787i	−0.604963	−	0.796254i	$-0.706812\pi$
$347$	−4.05845	+	2.34315i	−0.217869	+	0.125787i	0.387094	+	0.922040i	$0.373479\pi$
$348$	1.62484	+	0.599900i	0.0871008	+	0.0321580i
$349$	3.00000	+	3.00000i	0.160586	+	0.160586i	0.782826	−	0.622240i	$-0.213777\pi$
$349$	3.00000	+	3.00000i	0.160586	+	0.160586i	−0.622240	+	0.782826i	$0.713777\pi$
$350$	11.6421	−	4.03295i	0.622298	−	0.215570i
$351$	18.6777	+	1.46447i	0.996940	+	0.0781674i
$352$	−14.5711	+	25.2378i	−0.776641	+	1.34518i
$353$	1.85614	−	6.92721i	0.0987923	−	0.368698i	−0.898775	−	0.438411i	$-0.855542\pi$
$353$	1.85614	−	6.92721i	0.0987923	−	0.368698i	0.997567	+	0.0697126i	$0.0222082\pi$
$354$	−12.6339	+	10.5022i	−0.671486	+	0.558184i
$355$	0.333226	+	0.192388i	0.0176858	+	0.0102109i
$356$	8.82843	+	8.82843i	0.467906	+	0.467906i
$357$	5.80386	+	6.04329i	0.307173	+	0.319845i
$358$	−1.07107	−	1.07107i	−0.0566077	−	0.0566077i
$359$	−5.81962	−	21.7191i	−0.307148	−	1.14629i	−0.931081	−	0.364813i	$-0.881133\pi$
$359$	−5.81962	−	21.7191i	−0.307148	−	1.14629i	0.623933	−	0.781478i	$-0.285534\pi$
$360$	−4.00720	−	3.42595i	−0.211198	−	0.180564i
$361$	−21.9223	+	12.6569i	−1.15381	+	0.666150i
$362$	2.36616	+	8.83062i	0.124363	+	0.464127i
$363$	−39.2132	+	6.72792i	−2.05816	+	0.353124i
$364$	4.70951	−	8.29581i	0.246845	−	0.434819i
$365$		−	7.51472i		−	0.393338i
$366$	0.724745	+	1.57313i	0.0378830	+	0.0822289i
$367$	−7.19239	−	12.4576i	−0.375440	−	0.650280i	0.614953	−	0.788564i	$-0.289175\pi$
$367$	−7.19239	−	12.4576i	−0.375440	−	0.650280i	−0.990393	+	0.138283i	$0.955842\pi$
$368$	−3.29289	−	5.70346i	−0.171654	−	0.297313i
$369$	−13.9907	+	9.60521i	−0.728327	+	0.500027i
$370$	1.65685	−	1.65685i	0.0861358	−	0.0861358i
$371$	−22.8451	+	1.64020i	−1.18606	+	0.0851551i
$372$	−0.828427	+	1.17157i	−0.0429519	+	0.0607432i
$373$	−11.3995	+	19.7445i	−0.590243	+	1.02233i	0.403956	+	0.914778i	$0.367635\pi$
$373$	−11.3995	+	19.7445i	−0.590243	+	1.02233i	−0.994199	+	0.107553i	$0.965698\pi$
$374$	−5.32843	−	9.22911i	−0.275526	−	0.477226i
$375$	−0.898979	+	9.75663i	−0.0464231	+	0.503830i
$376$	1.70656	+	0.985281i	0.0880090	+	0.0508120i
$377$	3.00000	+	2.00000i	0.154508	+	0.103005i
$378$	−4.31974	−	13.0514i	−0.222184	−	0.671293i
$379$	−0.928932	+	0.928932i	−0.0477160	+	0.0477160i	−0.730562	−	0.682846i	$-0.760742\pi$
$379$	−0.928932	+	0.928932i	−0.0477160	+	0.0477160i	0.682846	+	0.730562i	$0.260742\pi$
$380$	3.37706	+	1.94975i	0.173240	+	0.100020i
$381$	−17.8727	−	21.5005i	−0.915645	−	1.10151i
$382$	16.3923	+	4.39230i	0.838703	+	0.224730i
$383$	−6.92721	+	1.85614i	−0.353964	+	0.0948443i	−0.431419	−	0.902151i	$-0.641987\pi$
$383$	−6.92721	+	1.85614i	−0.353964	+	0.0948443i	0.0774556	+	0.996996i	$0.475320\pi$
$384$	−4.24264	−	3.00000i	−0.216506	−	0.153093i
$385$	−8.12630	−	3.94476i	−0.414155	−	0.201044i
$386$			2.82843i			0.143963i
$387$	−17.6969	−	3.28913i	−0.899586	−	0.167196i
$388$	2.56218	−	9.56218i	0.130075	−	0.485446i
$389$	4.67157	+	8.09140i	0.236858	+	0.410250i	0.959811	−	0.280647i	$-0.0905490\pi$
$389$	4.67157	+	8.09140i	0.236858	+	0.410250i	−0.722953	+	0.690897i	$0.757216\pi$
$390$	−2.15261	−	2.95786i	−0.109002	−	0.149777i
$391$	−12.0416			−0.608971
$392$	−20.8528	−	2.48168i	−1.05323	−	0.125344i
$393$	−21.8995	+	3.75736i	−1.10468	+	0.189534i
$394$	6.12372	+	3.53553i	0.308509	+	0.178118i
$395$	0.214413	−	0.800199i	0.0107883	−	0.0402624i
$396$	−1.36312	−	17.4321i	−0.0684995	−	0.875994i
$397$	−27.1832	+	7.28372i	−1.36429	+	0.365559i	−0.865389	−	0.501101i	$-0.832928\pi$
$397$	−27.1832	+	7.28372i	−1.36429	+	0.365559i	−0.498898	+	0.866661i	$0.666262\pi$
$398$	−10.6569	+	10.6569i	−0.534180	+	0.534180i
$399$	14.7158	+	26.7214i	0.736714	+	1.33774i
$400$		−	4.65685i		−	0.232843i
$401$	−3.16863	−	11.8255i	−0.158234	−	0.590536i	−0.998807	−	0.0488381i	$-0.984448\pi$
$401$	−3.16863	−	11.8255i	−0.158234	−	0.590536i	0.840573	−	0.541698i	$-0.182218\pi$
$402$	17.9617	−	14.9310i	0.895850	−	0.744690i
$403$	−2.24364	+	1.97177i	−0.111763	+	0.0982210i
$404$	3.46410	+	2.00000i	0.172345	+	0.0995037i
$405$	5.24264	+	0.556349i	0.260509	+	0.0276452i
$406$	0.500000	−	2.59808i	0.0248146	−	0.128940i
$407$	23.3137			1.15562
$408$	8.62907	−	3.97543i	0.427203	−	0.196813i
$409$	−25.8172	−	6.91770i	−1.27658	−	0.342058i	−0.444030	−	0.896012i	$-0.646452\pi$
$409$	−25.8172	−	6.91770i	−1.27658	−	0.342058i	−0.832547	+	0.553954i	$0.813118\pi$
$410$	3.20080	+	0.857651i	0.158076	+	0.0423564i
$411$	17.9561	−	8.27239i	0.885707	−	0.408047i
$412$	6.48528			0.319507
$413$	−18.9706	−	16.4290i	−0.933480	−	0.808418i
$414$	17.8284	+	8.51472i	0.876219	+	0.418476i
$415$	2.20330	+	1.27208i	0.108156	+	0.0624439i
$416$	−11.9007	−	13.5415i	−0.583480	−	0.663929i
$417$	−3.90119	+	3.24293i	−0.191042	+	0.158807i
$418$	−10.0419	−	37.4769i	−0.491166	−	1.83306i
$419$		−	16.9289i		−	0.827032i	−0.910497	−	0.413516i	$-0.864300\pi$
$419$		−	16.9289i		−	0.827032i	0.910497	−	0.413516i	$-0.135700\pi$
$420$	1.38891	−	2.29717i	0.0677716	−	0.112091i
$421$	−11.0711	+	11.0711i	−0.539571	+	0.539571i	−0.923403	−	0.383832i	$-0.874604\pi$
$421$	−11.0711	+	11.0711i	−0.539571	+	0.539571i	0.383832	+	0.923403i	$0.374604\pi$
$422$	−14.5575	+	3.90068i	−0.708650	+	0.189882i
$423$	−1.96457	+	0.153622i	−0.0955204	+	0.00746935i
$424$	−6.72168	+	25.0856i	−0.326433	+	1.21827i
$425$	−7.37396	−	4.25736i	−0.357690	−	0.206512i
$426$	1.12132	−	0.192388i	0.0543281	−	0.00932124i
$427$	−2.19067	+	1.48356i	−0.106014	+	0.0717947i
$428$	6.82843			0.330064
$429$	5.66540	−	35.9549i	0.273528	−	1.73592i
$430$	1.75736	+	3.04384i	0.0847474	+	0.146787i
$431$	−3.92669	+	14.6546i	−0.189142	+	0.705888i	0.804564	+	0.593866i	$0.202399\pi$
$431$	−3.92669	+	14.6546i	−0.189142	+	0.705888i	−0.993706	+	0.112022i	$0.964267\pi$
$432$	−5.19565	−	0.0719302i	−0.249976	−	0.00346074i
$433$		−	5.14214i		−	0.247115i	−0.992337	−	0.123558i	$-0.960570\pi$
$433$		−	5.14214i		−	0.247115i	0.992337	−	0.123558i	$-0.0394304\pi$
$434$	1.97177	+	0.957160i	0.0946481	+	0.0459452i
$435$	0.828427	+	0.585786i	0.0397200	+	0.0280863i
$436$	−7.16158	+	1.91894i	−0.342977	+	0.0919005i
$437$	−42.3468	−	11.3468i	−2.02572	−	0.542790i
$438$	−14.2037	−	17.0868i	−0.678680	−	0.816441i
$439$	27.8359	+	16.0711i	1.32854	+	0.767030i	0.985073	−	0.172136i	$-0.0550670\pi$
$439$	27.8359	+	16.0711i	1.32854	+	0.767030i	0.343462	+	0.939167i	$0.388400\pi$
$440$	−7.24264	+	7.24264i	−0.345279	+	0.345279i
$441$	18.5959	−	9.75663i	0.885520	−	0.464601i
$442$	6.46447	−	1.29289i	0.307483	−	0.0614967i
$443$	−4.56575	−	2.63604i	−0.216925	−	0.125242i	0.387600	−	0.921828i	$-0.373304\pi$
$443$	−4.56575	−	2.63604i	−0.216925	−	0.125242i	−0.604526	+	0.796586i	$0.706637\pi$
$444$	−0.635674	+	6.89898i	−0.0301678	+	0.327411i
$445$	3.65685	+	6.33386i	0.173352	+	0.300254i
$446$	−2.50000	+	4.33013i	−0.118378	+	0.205037i
$447$	14.4853	−	20.4853i	0.685130	−	0.968921i
$448$	−8.08776	+	16.6610i	−0.382111	+	0.787157i
$449$	2.00000	−	2.00000i	0.0943858	−	0.0943858i	−0.658337	−	0.752723i	$-0.728740\pi$
$449$	2.00000	−	2.00000i	0.0943858	−	0.0943858i	0.752723	+	0.658337i	$0.228740\pi$
$450$	7.90723	+	11.5175i	0.372750	+	0.542939i
$451$	16.4853	+	28.5533i	0.776262	+	1.34452i
$452$	−4.50000	−	7.79423i	−0.211662	−	0.366610i
$453$	14.3706	+	31.1927i	0.675187	+	1.46556i
$454$		−	6.00000i		−	0.281594i
$455$	3.92252	−	3.97997i	0.183890	−	0.186584i
$456$	34.0919	−	5.84924i	1.59650	−	0.273916i
$457$	−1.15010	−	4.29224i	−0.0537995	−	0.200782i	0.933795	−	0.357809i	$-0.116476\pi$
$457$	−1.15010	−	4.29224i	−0.0537995	−	0.200782i	−0.987594	+	0.157026i	$0.949809\pi$
$458$	4.77589	−	2.75736i	0.223163	−	0.128843i
$459$	−4.86384	+	8.16137i	−0.227024	+	0.380940i
$460$	0.998489	+	3.72641i	0.0465548	+	0.173745i
$461$	28.0711	+	28.0711i	1.30740	+	1.30740i	0.923285	+	0.384115i	$0.125493\pi$
$461$	28.0711	+	28.0711i	1.30740	+	1.30740i	0.384115	+	0.923285i	$0.374507\pi$
$462$	−25.9335	+	6.39015i	−1.20654	+	0.297297i
$463$	4.00000	+	4.00000i	0.185896	+	0.185896i	0.793919	−	0.608023i	$-0.208037\pi$
$463$	4.00000	+	4.00000i	0.185896	+	0.185896i	−0.608023	+	0.793919i	$0.708037\pi$
$464$	−0.866025	−	0.500000i	−0.0402042	−	0.0232119i
$465$	−0.646371	+	0.537307i	−0.0299747	+	0.0249170i
$466$	0.347632	−	1.29738i	0.0161037	−	0.0600999i
$467$	−11.4853	+	19.8931i	−0.531475	+	0.920542i	0.467850	+	0.883808i	$0.345029\pi$
$467$	−11.4853	+	19.8931i	−0.531475	+	0.920542i	−0.999325	+	0.0367344i	$0.988304\pi$
$468$	10.4853	+	2.65685i	0.484682	+	0.122813i
$469$	26.9706	+	23.3572i	1.24538	+	1.07853i
$470$	0.272078	+	0.272078i	0.0125500	+	0.0125500i
$471$	−2.97091	−	1.09687i	−0.136892	−	0.0505413i
$472$	−24.6435	+	14.2279i	−1.13431	+	0.654893i
$473$	−9.05105	+	33.7790i	−0.416168	+	1.55316i
$474$	−1.02494	−	2.22474i	−0.0470772	−	0.102186i
$475$	−21.9203	−	21.9203i	−1.00577	−	1.00577i
$476$	2.71259	+	4.00548i	0.124331	+	0.183591i
$477$	−8.65685	−	24.4853i	−0.396370	−	1.12110i
$478$	5.46783	+	3.15685i	0.250093	+	0.144391i
$479$	28.4806	+	7.63135i	1.30131	+	0.348685i	0.841946	−	0.539562i	$-0.181410\pi$
$479$	28.4806	+	7.63135i	1.30131	+	0.348685i	0.459366	+	0.888247i	$0.348077\pi$
$480$	−3.24293	−	3.90119i	−0.148019	−	0.178064i
$481$	−4.62158	+	13.6617i	−0.210726	+	0.622918i
$482$			22.2426i			1.01312i
$483$	−8.39856	+	28.9877i	−0.382148	+	1.31899i
$484$	−22.9706			−1.04412
$485$	2.89949	−	5.02207i	0.131659	−	0.228041i
$486$	12.9722	−	8.64420i	0.588431	−	0.392109i
$487$	−9.02479	−	2.41818i	−0.408952	−	0.109578i	0.0484774	−	0.998824i	$-0.484563\pi$
$487$	−9.02479	−	2.41818i	−0.408952	−	0.109578i	−0.457429	+	0.889246i	$0.651230\pi$
$488$	0.776457	+	2.89778i	0.0351486	+	0.131176i
$489$	2.17157	−	3.07107i	0.0982019	−	0.138878i
$490$	−3.80761	−	1.52192i	−0.172010	−	0.0687532i
$491$	−9.21320			−0.415786			−0.207893	−	0.978152i	$-0.566661\pi$
$491$	−9.21320			−0.415786			−0.207893	+	0.978152i	$0.566661\pi$
$492$	−8.89898	+	4.09978i	−0.401197	+	0.184832i
$493$	−1.58346	+	0.914214i	−0.0713156	+	0.0411741i
$494$	23.9519	+	1.54473i	1.07765	+	0.0695006i
$495$	1.87163	−	10.0702i	0.0841236	−	0.452621i
$496$	0.585786	−	0.585786i	0.0263026	−	0.0263026i
$497$	0.568852	+	1.64214i	0.0255165	+	0.0736598i
$498$	7.41421	−	1.27208i	0.332239	−	0.0570032i
$499$	−4.74756	−	17.7181i	−0.212530	−	0.793172i	−0.987022	−	0.160588i	$-0.948661\pi$
$499$	−4.74756	−	17.7181i	−0.212530	−	0.793172i	0.774492	−	0.632584i	$-0.218006\pi$
$500$	−1.46410	+	5.46410i	−0.0654766	+	0.244362i
$501$	3.49153	−	37.8936i	0.155990	−	1.69296i
$502$	1.93185	−	0.517638i	0.0862228	−	0.0231033i
$503$		−	13.0711i		−	0.582810i	−0.956600	−	0.291405i	$-0.905877\pi$
$503$		−	13.0711i		−	0.582810i	0.956600	−	0.291405i	$-0.0941227\pi$
$504$	−3.55159	−	23.5454i	−0.158200	−	1.04880i
$505$	1.65685	+	1.65685i	0.0737290	+	0.0737290i
$506$	19.1924	−	33.2422i	0.853206	−	1.47780i
$507$	19.9462	+	10.4474i	0.885843	+	0.463985i
$508$	−8.07107	−	13.9795i	−0.358096	−	0.620240i
$509$	25.8172	−	6.91770i	1.14433	−	0.306621i	0.363637	−	0.931541i	$-0.381535\pi$
$509$	25.8172	−	6.91770i	1.14433	−	0.306621i	0.780689	+	0.624919i	$0.214868\pi$
$510$	1.82843	−	0.313708i	0.0809641	−	0.0138912i
$511$	22.2195	−	25.6569i	0.982932	−	1.13499i
$512$	7.77817	+	7.77817i	0.343750	+	0.343750i
$513$	−24.7951	+	24.1179i	−1.09473	+	1.06483i
$514$	−4.87316	+	18.1869i	−0.214946	+	0.802188i
$515$	3.66954	+	0.983251i	0.161699	+	0.0433272i
$516$	−9.74907	−	3.59940i	−0.429179	−	0.158455i
$517$			3.82843i			0.168374i
$518$	10.5558	−	0.757875i	0.463797	−	0.0332991i
$519$	4.53553	+	26.4350i	0.199088	+	1.16037i
$520$	−2.80839	−	5.67987i	−0.123156	−	0.249079i
$521$	−4.72490	+	2.72792i	−0.207002	+	0.119512i	−0.599917	−	0.800062i	$-0.704800\pi$
$521$	−4.72490	+	2.72792i	−0.207002	+	0.119512i	0.392916	+	0.919575i	$0.371466\pi$
$522$	2.99087	−	0.233875i	0.130907	−	0.0102364i
$523$	−4.75736	+	8.23999i	−0.208025	+	0.360310i	−0.951092	−	0.308907i	$-0.900037\pi$
$523$	−4.75736	+	8.23999i	−0.208025	+	0.360310i	0.743067	+	0.669217i	$0.233370\pi$
$524$	−12.8284			−0.560412
$525$	−15.3918	+	14.7819i	−0.671751	+	0.645137i
$526$	−14.4853	+	14.4853i	−0.631588	+	0.631588i
$527$	−0.392038	−	1.46311i	−0.0170774	−	0.0637339i
$528$	−0.926246	+	10.0525i	−0.0403097	+	0.437481i
$529$	−10.1863	−	17.6432i	−0.442882	−	0.767095i
$530$	−2.53553	+	4.39167i	−0.110137	+	0.190762i
$531$	12.2635	−	25.6777i	0.532189	−	1.11432i
$532$	5.76500	+	16.6421i	0.249945	+	0.721528i
$533$	−20.0000	+	4.00000i	−0.866296	+	0.173259i
$534$	20.2866	+	7.48993i	0.877889	+	0.324121i
$535$	3.86370	+	1.03528i	0.167042	+	0.0447589i
$536$	35.0358	−	20.2279i	1.51332	−	0.873713i
$537$	2.46118	+	0.908680i	0.106208	+	0.0392125i
$538$	4.94975	−	4.94975i	0.213399	−	0.213399i
$539$	−16.0811	−	37.4961i	−0.692661	−	1.61507i
$540$	2.92893	+	0.828427i	0.126041	+	0.0356498i
$541$	33.3504	−	8.93622i	1.43385	−	0.384198i	0.543473	−	0.839427i	$-0.317109\pi$
$541$	33.3504	−	8.93622i	1.43385	−	0.384198i	0.890375	+	0.455229i	$0.150442\pi$
$542$	3.61269	−	2.08579i	0.155178	−	0.0895922i
$543$	−10.1222	−	12.1769i	−0.434386	−	0.522560i
$544$	8.83062	−	2.36616i	0.378610	−	0.101448i
$545$	−4.34315			−0.186040
$546$	1.39634	−	16.4636i	0.0597576	−	0.704577i
$547$	15.0711			0.644392			0.322196	−	0.946673i	$-0.395579\pi$
$547$	15.0711			0.644392			0.322196	+	0.946673i	$0.395579\pi$
$548$	11.0253	−	2.95422i	0.470977	−	0.126198i
$549$	−2.28024	−	1.94949i	−0.0973182	−	0.0832022i
$550$	23.5058	−	13.5711i	1.00229	−	0.578672i
$551$	−6.43003	+	1.72292i	−0.273928	+	0.0733989i
$552$	27.9411	+	19.7574i	1.18925	+	0.840929i
$553$	3.09808	−	2.09808i	0.131744	−	0.0892193i
$554$	−2.70711	+	2.70711i	−0.115014	+	0.115014i
$555$	−1.40565	+	3.80725i	−0.0596667	+	0.161609i
$556$	−2.53653	+	1.46447i	−0.107573	+	0.0621072i
$557$	31.6127	+	8.47061i	1.33948	+	0.358911i	0.856239	−	0.516579i	$-0.172795\pi$
$557$	31.6127	+	8.47061i	1.33948	+	0.358911i	0.483236	+	0.875490i	$0.339461\pi$
$558$	−0.454134	+	2.44344i	−0.0192250	+	0.103439i
$559$	−18.0000	−	12.0000i	−0.761319	−	0.507546i
$560$	−1.01461	+	1.17157i	−0.0428752	+	0.0495080i
$561$	15.0711	+	10.6569i	0.636301	+	0.449933i
$562$	5.70711	−	9.88500i	0.240740	−	0.416974i
$563$	1.75736	+	3.04384i	0.0740639	+	0.128282i	0.900679	−	0.434486i	$-0.143070\pi$
$563$	1.75736	+	3.04384i	0.0740639	+	0.128282i	−0.826615	+	0.562768i	$0.809736\pi$
$564$	−1.13291	−	0.104386i	−0.0477039	−	0.00439546i
$565$	−1.36451	−	5.09244i	−0.0574055	−	0.214240i
$566$	12.5858	−	12.5858i	0.529020	−	0.529020i
$567$	16.2545	+	17.4009i	0.682624	+	0.730770i
$568$	1.97056			0.0826830
$569$	−21.7426	+	37.6594i	−0.911499	+	1.57876i	−0.0995511	+	0.995032i	$0.531741\pi$
$569$	−21.7426	+	37.6594i	−0.911499	+	1.57876i	−0.811948	+	0.583730i	$0.801593\pi$
$570$	6.72563	+	0.619702i	0.281706	+	0.0259565i
$571$	12.1604	−	7.02082i	0.508897	−	0.293812i	−0.223483	−	0.974708i	$-0.571743\pi$
$571$	12.1604	−	7.02082i	0.508897	−	0.293812i	0.732380	+	0.680896i	$0.238409\pi$
$572$	6.73413	−	19.9065i	0.281568	−	0.832333i
$573$	−28.9706	+	4.97056i	−1.21026	+	0.207648i
$574$	8.39230	+	12.3923i	0.350288	+	0.517245i
$575$		−	30.6690i		−	1.27899i
$576$	−20.6464	−	3.83732i	−0.860268	−	0.159888i
$577$	9.46510	+	2.53617i	0.394037	+	0.105582i	0.450397	−	0.892829i	$-0.351283\pi$
$577$	9.46510	+	2.53617i	0.394037	+	0.105582i	−0.0563594	+	0.998411i	$0.517949\pi$
$578$	3.53465	−	13.1915i	0.147022	−	0.548694i
$579$	−2.04989	−	4.44949i	−0.0851904	−	0.184914i
$580$	0.414214	+	0.414214i	0.0171993	+	0.0171993i
$581$	3.76127	+	10.8579i	0.156044	+	0.450460i
$582$	−2.89949	−	16.8995i	−0.120188	−	0.700507i
$583$	−48.7366	+	13.0589i	−2.01846	+	0.540846i
$584$	−19.2426	−	33.3292i	−0.796266	−	1.37917i
$585$	5.53003	+	3.09302i	0.228639	+	0.127881i
$586$	6.46447	−	11.1968i	0.267045	−	0.462535i
$587$	−23.5355	−	23.5355i	−0.971415	−	0.971415i	0.0281872	−	0.999603i	$-0.491027\pi$
$587$	−23.5355	−	23.5355i	−0.971415	−	0.971415i	−0.999603	+	0.0281872i	$0.991027\pi$
$588$	11.5343	−	3.73633i	0.475666	−	0.154084i
$589$		−	5.51472i		−	0.227230i
$590$	−5.36702	+	1.43809i	−0.220957	+	0.0592052i
$591$	−12.1958	−	1.12372i	−0.501668	−	0.0462238i
$592$	1.03528	−	3.86370i	0.0425496	−	0.158797i
$593$	8.63300	+	32.2188i	0.354515	+	1.32307i	0.881094	+	0.472941i	$0.156808\pi$
$593$	8.63300	+	32.2188i	0.354515	+	1.32307i	−0.526579	+	0.850126i	$0.676526\pi$
$594$	−14.7782	−	26.4350i	−0.606356	−	1.08464i
$595$	0.927572	+	2.67767i	0.0380267	+	0.109774i
$596$	10.2426	−	10.2426i	0.419555	−	0.419555i
$597$	9.04114	−	24.4881i	0.370029	−	1.00223i
$598$	15.6751	+	17.8363i	0.641002	+	0.729382i
$599$	−21.7122	+	12.5355i	−0.887136	+	0.512188i	−0.873005	−	0.487712i	$-0.837832\pi$
$599$	−21.7122	+	12.5355i	−0.887136	+	0.512188i	−0.0141312	+	0.999900i	$0.504498\pi$
$600$	10.1251	+	21.9775i	0.413355	+	0.897229i
$601$	45.2843			1.84718			0.923592	−	0.383377i	$-0.125239\pi$
$601$	45.2843			1.84718			0.923592	+	0.383377i	$0.125239\pi$
$602$	−3.00000	+	15.5885i	−0.122271	+	0.635338i
$603$	−17.4350	+	36.5061i	−0.710009	+	1.48664i
$604$	5.13197	+	19.1528i	0.208817	+	0.779316i
$605$	−12.9973	−	3.48263i	−0.528417	−	0.141589i
$606$	6.89898	+	0.635674i	0.280252	+	0.0258225i
$607$	−11.4853	+	19.8931i	−0.466173	+	0.807436i	−0.999254	−	0.0386289i	$-0.987701\pi$
$607$	−11.4853	+	19.8931i	−0.466173	+	0.807436i	0.533080	+	0.846065i	$0.321034\pi$
$608$	33.2843			1.34986
$609$	1.09638	+	4.44949i	0.0444274	+	0.180302i
$610$			0.585786i			0.0237178i
$611$	−2.24343	−	0.758926i	−0.0907595	−	0.0307029i
$612$	−3.56450	+	4.16925i	−0.144086	+	0.168532i
$613$	−5.93285	−	1.58970i	−0.239625	−	0.0642074i	0.137008	−	0.990570i	$-0.456252\pi$
$613$	−5.93285	−	1.58970i	−0.239625	−	0.0642074i	−0.376633	+	0.926363i	$0.622918\pi$
$614$	4.33013	+	2.50000i	0.174750	+	0.100892i
$615$	−5.65685	+	0.970563i	−0.228106	+	0.0391369i
$616$	−46.1429	+	3.31291i	−1.85915	+	0.133481i
$617$	7.07107	+	7.07107i	0.284670	+	0.284670i	0.834968	−	0.550298i	$-0.185486\pi$
$617$	7.07107	+	7.07107i	0.284670	+	0.284670i	−0.550298	+	0.834968i	$0.685486\pi$
$618$	10.2022	−	4.70017i	0.410393	−	0.189069i
$619$	5.81962	−	21.7191i	0.233910	−	0.872965i	−0.744727	−	0.667369i	$-0.767420\pi$
$619$	5.81962	−	21.7191i	0.233910	−	0.872965i	0.978637	−	0.205595i	$-0.0659131\pi$
$620$	−0.420266	+	0.242641i	−0.0168783	+	0.00974468i
$621$	−34.2175	−	0.473717i	−1.37310	−	0.0190096i
$622$	1.31371	+	1.31371i	0.0526749	+	0.0526749i
$623$	−6.24264	+	32.4377i	−0.250106	+	1.29959i
$624$	−5.70711	−	2.53553i	−0.228467	−	0.101503i
$625$	9.98528	−	17.2950i	0.399411	−	0.691801i
$626$	−6.12284	+	22.8508i	−0.244718	+	0.913300i
$627$	42.9585	+	51.6784i	1.71560	+	2.06383i
$628$	−1.58346	−	0.914214i	−0.0631871	−	0.0364811i
$629$	−5.17157	−	5.17157i	−0.206204	−	0.206204i
$630$	0.520067	−	4.62036i	0.0207200	−	0.184079i
$631$	13.0711	+	13.0711i	0.520351	+	0.520351i	0.917677	−	0.397326i	$-0.130062\pi$
$631$	13.0711	+	13.0711i	0.520351	+	0.520351i	−0.397326	+	0.917677i	$0.630062\pi$
$632$	−1.09808	−	4.09808i	−0.0436791	−	0.163013i
$633$	20.0739	−	16.6868i	0.797867	−	0.663240i
$634$	−14.6609	+	8.46447i	−0.582258	+	0.336167i
$635$	−2.44735	−	9.13364i	−0.0971202	−	0.362458i
$636$	−2.53553	−	14.7782i	−0.100540	−	0.585993i
$637$	25.1603	−	1.99038i	0.996886	−	0.0788618i
$638$		−	5.82843i		−	0.230750i
$639$	−1.62455	+	1.11532i	−0.0642663	+	0.0441215i
$640$	−0.878680	−	1.52192i	−0.0347329	−	0.0601591i
$641$	12.1421	+	21.0308i	0.479586	+	0.830666i	0.999726	−	0.0234143i	$-0.00745369\pi$
$641$	12.1421	+	21.0308i	0.479586	+	0.830666i	−0.520140	+	0.854081i	$0.674120\pi$
$642$	10.7420	−	4.94887i	0.423954	−	0.195316i
$643$	7.67767	−	7.67767i	0.302778	−	0.302778i	−0.539322	−	0.842100i	$-0.681319\pi$
$643$	7.67767	−	7.67767i	0.302778	−	0.302778i	0.842100	+	0.539322i	$0.181319\pi$
$644$	−7.60918	+	15.6751i	−0.299844	+	0.617685i
$645$	−4.97056	−	3.51472i	−0.195716	−	0.138392i
$646$	−6.08579	+	10.5409i	−0.239442	+	0.414726i
$647$	21.0919	+	36.5322i	0.829207	+	1.43623i	0.898661	+	0.438644i	$0.144541\pi$
$647$	21.0919	+	36.5322i	0.829207	+	1.43623i	−0.0694533	+	0.997585i	$0.522125\pi$
$648$	24.6767	−	10.9571i	0.969394	−	0.430436i
$649$	−47.8776	−	27.6421i	−1.87936	−	1.08505i
$650$	3.29289	+	16.4645i	0.129158	+	0.645789i
$651$	−3.79555	−	0.0767078i	−0.148760	−	0.00300642i
$652$	1.53553	−	1.53553i	0.0601361	−	0.0601361i
$653$	27.5387	+	15.8995i	1.07767	+	0.622195i	0.930268	−	0.366881i	$-0.119574\pi$
$653$	27.5387	+	15.8995i	1.07767	+	0.622195i	0.147406	+	0.989076i	$0.452908\pi$
$654$	−9.87537	+	8.20906i	−0.386158	+	0.321000i
$655$	−7.25866	−	1.94495i	−0.283619	−	0.0759956i
$656$	5.46410	−	1.46410i	0.213337	−	0.0571636i
$657$	34.7279	+	16.5858i	1.35487	+	0.647073i
$658$	0.124453	+	1.73341i	0.00485170	+	0.0675754i
$659$		−	21.0711i		−	0.820812i	−0.911903	−	0.410406i	$-0.865387\pi$
$659$		−	21.0711i		−	0.820812i	0.911903	−	0.410406i	$-0.134613\pi$
$660$	2.04819	−	5.54757i	0.0797256	−	0.215939i
$661$	5.98201	−	22.3252i	0.232673	−	0.868348i	−0.746511	−	0.665373i	$-0.768272\pi$
$661$	5.98201	−	22.3252i	0.232673	−	0.868348i	0.979184	−	0.202975i	$-0.0650609\pi$
$662$	−11.7279	−	20.3134i	−0.455819	−	0.789501i
$663$	−9.23244	+	6.71898i	−0.358558	+	0.260944i
$664$	13.0294			0.505640
$665$	0.738832	+	10.2906i	0.0286507	+	0.399053i
$666$	4.00000	+	11.3137i	0.154997	+	0.438397i
$667$	−5.70346	−	3.29289i	−0.220839	−	0.127501i
$668$	5.68640	−	21.2219i	0.220013	−	0.821101i
$669$	0.794593	−	8.62372i	0.0307207	−	0.333412i
$670$	7.63033	−	2.04454i	0.294785	−	0.0789875i
$671$	−4.12132	+	4.12132i	−0.159102	+	0.159102i
$672$	0.462972	−	22.9082i	0.0178595	−	0.883703i
$673$			9.85786i			0.379993i	0.981785	+	0.189996i	$0.0608476\pi$
$673$			9.85786i			0.379993i	−0.981785	+	0.189996i	$0.939152\pi$
$674$	−4.43671	−	16.5580i	−0.170896	−	0.637792i
$675$	−20.7864	−	12.3878i	−0.800067	−	0.476806i
$676$	10.3301	+	7.89230i	0.397313	+	0.303550i
$677$	−22.4912	−	12.9853i	−0.864406	−	0.499065i	0.00107942	−	0.999999i	$-0.499656\pi$
$677$	−22.4912	−	12.9853i	−0.864406	−	0.499065i	−0.865485	+	0.500935i	$0.832990\pi$
$678$	−12.7279	−	9.00000i	−0.488813	−	0.345643i
$679$	24.7487	−	8.57321i	0.949769	−	0.329010i
$680$	3.21320			0.123221
$681$	4.34847	+	9.43879i	0.166634	+	0.361695i
$682$	4.66390	+	1.24969i	0.178590	+	0.0478531i
$683$	−48.5709	−	13.0145i	−1.85851	−	0.497987i	−0.858620	−	0.512613i	$-0.828678\pi$
$683$	−48.5709	−	13.0145i	−1.85851	−	0.497987i	−0.999893	+	0.0146258i	$0.995344\pi$
$684$	−16.4639	+	11.3032i	−0.629515	+	0.432188i
$685$	6.68629			0.255470
$686$	−8.50000	−	16.4545i	−0.324532	−	0.628235i
$687$	−5.51472	+	7.79899i	−0.210400	+	0.297550i
$688$	5.19615	+	3.00000i	0.198101	+	0.114374i
$689$	2.00883	−	31.1480i	0.0765303	−	1.18665i
$690$	4.27145	+	5.13849i	0.162611	+	0.195619i
$691$	−2.63260	−	9.82498i	−0.100149	−	0.373760i	0.897601	−	0.440809i	$-0.145308\pi$
$691$	−2.63260	−	9.82498i	−0.100149	−	0.373760i	−0.997750	+	0.0670488i	$0.978642\pi$
$692$			15.4853i			0.588662i
$693$	36.1656	−	28.8477i	1.37382	−	1.09584i
$694$	−3.31371	+	3.31371i	−0.125787	+	0.125787i
$695$	−1.65727	+	0.444063i	−0.0628637	+	0.0168443i
$696$	5.17423	+	0.476756i	0.196129	+	0.0180714i
$697$	2.67700	−	9.99071i	0.101399	−	0.378425i
$698$	3.67423	+	2.12132i	0.139072	+	0.0802932i
$699$	0.393398	+	2.29289i	0.0148797	+	0.0867252i
$700$	−10.2016	+	6.90874i	−0.385586	+	0.261126i
$701$	−36.2843			−1.37044			−0.685219	−	0.728337i	$-0.740294\pi$
$701$	−36.2843			−1.37044			−0.685219	+	0.728337i	$0.740294\pi$
$702$	18.4203	−	3.41957i	0.695228	−	0.129063i
$703$	−13.3137	−	23.0600i	−0.502136	−	0.869725i
$704$	−10.5596	+	39.4088i	−0.397978	+	1.48527i
$705$	−0.625202	−	0.230827i	−0.0235465	−	0.00869347i
$706$		−	7.17157i		−	0.269906i
$707$	0.757875	+	10.5558i	0.0285028	+	0.396993i
$708$	9.48528	−	13.4142i	0.356479	−	0.504137i
$709$	−21.9937	+	5.89319i	−0.825991	+	0.221324i	−0.646964	−	0.762521i	$-0.723962\pi$
$709$	−21.9937	+	5.89319i	−0.825991	+	0.221324i	−0.179027	+	0.983844i	$0.557295\pi$
$710$	0.371665	+	0.0995874i	0.0139484	+	0.00373745i
$711$	3.22474	+	2.75699i	0.120937	+	0.103395i
$712$	32.4377	+	18.7279i	1.21565	+	0.701859i
$713$	3.85786	−	3.85786i	0.144478	−	0.144478i
$714$	7.17021	+	4.33522i	0.268338	+	0.162241i
$715$	6.82843	−	10.2426i	0.255369	−	0.383053i
$716$	1.31178	+	0.757359i	0.0490237	+	0.0283038i
$717$	−10.8895	−	1.00337i	−0.406677	−	0.0374714i
$718$	−11.2426	−	19.4728i	−0.419572	−	0.726719i
$719$	11.9706	−	20.7336i	0.446427	−	0.773234i	−0.551724	−	0.834027i	$-0.686030\pi$
$719$	11.9706	−	20.7336i	0.446427	−	0.773234i	0.998150	+	0.0607933i	$0.0193630\pi$
$720$	−1.58579	−	0.757359i	−0.0590988	−	0.0282251i
$721$	9.62133	+	14.2071i	0.358317	+	0.529101i
$722$	−17.8995	+	17.8995i	−0.666150	+	0.666150i
$723$	−16.1202	−	34.9906i	−0.599518	−	1.30131i
$724$	−4.57107	−	7.91732i	−0.169882	−	0.294245i
$725$	−2.32843	−	4.03295i	−0.0864756	−	0.149780i
$726$	−36.1357	+	16.6478i	−1.34112	+	0.617858i
$727$			9.07107i			0.336427i	0.985751	+	0.168214i	$0.0537998\pi$
$727$			9.07107i			0.336427i	−0.985751	+	0.168214i	$0.946200\pi$
$728$	7.20577	−	27.6962i	0.267064	−	1.02649i
$729$	−14.1421	+	23.0000i	−0.523783	+	0.851852i
$730$	−1.94495	−	7.25866i	−0.0719859	−	0.268655i
$731$	9.50079	−	5.48528i	0.351399	−	0.202880i
$732$	−1.10721	−	1.33195i	−0.0409235	−	0.0492303i
$733$	2.38455	+	8.89927i	0.0880755	+	0.328702i	0.995879	−	0.0906940i	$-0.0289085\pi$
$733$	2.38455	+	8.89927i	0.0880755	+	0.328702i	−0.907803	+	0.419396i	$0.862242\pi$
$734$	−10.1716	−	10.1716i	−0.375440	−	0.375440i
$735$	7.09288	−	0.365369i	0.261625	−	0.0134768i
$736$	23.2843	+	23.2843i	0.858270	+	0.858270i
$737$	68.0678	+	39.2990i	2.50731	+	1.44760i
$738$	−11.0280	+	12.8990i	−0.405946	+	0.474818i
$739$	0.643238	−	2.40060i	0.0236619	−	0.0883074i	−0.953085	−	0.302702i	$-0.902111\pi$
$739$	0.643238	−	2.40060i	0.0236619	−	0.0883074i	0.976747	+	0.214395i	$0.0687779\pi$
$740$	−1.17157	+	2.02922i	−0.0430679	+	0.0745957i
$741$	−38.7990	+	14.9289i	−1.42532	+	0.548428i
$742$	−21.6421	+	7.49706i	−0.794508	+	0.275226i
$743$	4.60660	+	4.60660i	0.169000	+	0.169000i	0.786540	−	0.617540i	$-0.211871\pi$
$743$	4.60660	+	4.60660i	0.169000	+	0.169000i	−0.617540	+	0.786540i	$0.711871\pi$
$744$	−1.49092	+	4.03820i	−0.0546598	+	0.148047i
$745$	7.34847	−	4.24264i	0.269227	−	0.155438i
$746$	−5.90081	+	22.0221i	−0.216044	+	0.806288i
$747$	−10.7416	+	7.37456i	−0.393015	+	0.269821i
$748$	7.53553	+	7.53553i	0.275526	+	0.275526i
$749$	10.1304	+	14.9588i	0.370157	+	0.546584i
$750$	1.65685	+	9.65685i	0.0604998	+	0.352618i
$751$	12.1604	+	7.02082i	0.443740	+	0.256193i	0.705183	−	0.709026i	$-0.250865\pi$
$751$	12.1604	+	7.02082i	0.443740	+	0.256193i	−0.261443	+	0.965219i	$0.584198\pi$
$752$	0.634472	+	0.170006i	0.0231368	+	0.00619950i
$753$	−2.66390	+	2.21441i	−0.0970780	+	0.0806977i
$754$	3.41542	+	1.15539i	0.124382	+	0.0420770i
$755$			11.6152i			0.422721i
$756$	7.55051	+	11.4887i	0.274609	+	0.417839i
$757$	−11.1421			−0.404968			−0.202484	−	0.979286i	$-0.564901\pi$
$757$	−11.1421			−0.404968			−0.202484	+	0.979286i	$0.564901\pi$
$758$	−0.656854	+	1.13770i	−0.0238580	+	0.0413233i
$759$	−6.10006	+	66.2039i	−0.221418	+	2.40305i
$760$	11.2999	+	3.02779i	0.409889	+	0.109830i
$761$	−6.51488	−	24.3139i	−0.236164	−	0.881377i	−0.977621	−	0.210376i	$-0.932531\pi$
$761$	−6.51488	−	24.3139i	−0.236164	−	0.881377i	0.741456	−	0.671001i	$-0.234135\pi$
$762$	−22.8284	−	16.1421i	−0.826987	−	0.584768i
$763$	−14.8284	−	12.8418i	−0.536825	−	0.464904i
$764$	−16.9706			−0.613973
$765$	−2.64900	+	1.81865i	−0.0957748	+	0.0657534i
$766$	−6.21076	+	3.58579i	−0.224404	+	0.129560i
$767$	25.6891	−	22.5763i	0.927579	−	0.815183i
$768$	−27.6224	−	10.1983i	−0.996736	−	0.368000i
$769$	−9.21320	+	9.21320i	−0.332237	+	0.332237i	−0.853435	−	0.521199i	$-0.825485\pi$
$769$	−9.21320	+	9.21320i	−0.332237	+	0.332237i	0.521199	+	0.853435i	$0.325485\pi$
$770$	−8.87039	−	1.70711i	−0.319667	−	0.0615199i
$771$	−5.51472	−	32.1421i	−0.198608	−	1.15757i
$772$	−0.732051	−	2.73205i	−0.0263471	−	0.0983287i
$773$	−10.6407	+	39.7118i	−0.382721	+	1.42833i	0.459007	+	0.888433i	$0.348205\pi$
$773$	−10.6407	+	39.7118i	−0.382721	+	1.42833i	−0.841728	+	0.539902i	$0.818461\pi$
$774$	−17.9452	+	1.40325i	−0.645028	+	0.0504388i
$775$	3.72641	−	0.998489i	0.133857	−	0.0358668i
$776$		−	29.6985i		−	1.06611i
$777$	−16.0565	+	8.84252i	−0.576022	+	0.317224i
$778$	6.60660	+	6.60660i	0.236858	+	0.236858i
$779$	18.8284	−	32.6118i	0.674598	−	1.16844i
$780$	2.84481	+	2.29994i	0.101861	+	0.0823511i
$781$	1.91421	+	3.31552i	0.0684959	+	0.118638i
$782$	−11.6313	+	3.11660i	−0.415935	+	0.111450i
$783$	−4.53553	+	2.53553i	−0.162087	+	0.0906126i
$784$	−6.92820	+	1.00000i	−0.247436	+	0.0357143i
$785$	−0.757359	−	0.757359i	−0.0270313	−	0.0270313i
$786$	−20.1808	+	9.29734i	−0.719826	+	0.331625i
$787$	6.95133	−	25.9427i	0.247788	−	0.924758i	−0.724174	−	0.689618i	$-0.757779\pi$
$787$	6.95133	−	25.9427i	0.247788	−	0.924758i	0.971962	−	0.235140i	$-0.0755548\pi$
$788$	−6.83013	−	1.83013i	−0.243313	−	0.0651956i
$789$	12.2891	−	33.2854i	0.437505	−	1.18499i
$790$		−	0.828427i		−	0.0294741i
$791$	10.3986	−	21.4213i	0.369730	−	0.761652i
$792$	−17.4853	−	49.4558i	−0.621312	−	1.75734i
$793$	−1.59808	−	3.23205i	−0.0567494	−	0.114773i
$794$	−24.3718	+	14.0711i	−0.864923	+	0.499364i
$795$	0.805887	−	8.74630i	0.0285819	−	0.310199i
$796$	7.53553	−	13.0519i	0.267090	−	0.462613i
$797$	−10.2843			−0.364288			−0.182144	−	0.983272i	$-0.558304\pi$
$797$	−10.2843			−0.364288			−0.182144	+	0.983272i	$0.558304\pi$
$798$	21.1304	+	22.0021i	0.748009	+	0.778867i
$799$	0.849242	−	0.849242i	0.0300440	−	0.0300440i
$800$	6.02641	+	22.4909i	0.213066	+	0.795173i
$801$	−37.3419	+	2.92000i	−1.31941	+	0.103173i
$802$	−6.12132	−	10.6024i	−0.216151	−	0.374385i
$803$	37.3848	−	64.7523i	1.31928	−	2.28506i
$804$	−13.4853	+	19.0711i	−0.475589	+	0.672585i
$805$	−6.68202	+	7.71573i	−0.235510	+	0.271944i
$806$	−1.65685	+	2.48528i	−0.0583602	+	0.0875403i
$807$	−4.19930	+	11.3739i	−0.147822	+	0.400381i
$808$	11.5911	+	3.10583i	0.407774	+	0.109263i
$809$	−39.3404	+	22.7132i	−1.38314	+	0.798554i	−0.992530	−	0.122004i	$-0.961068\pi$
$809$	−39.3404	+	22.7132i	−1.38314	+	0.798554i	−0.390606	+	0.920558i	$0.627735\pi$
$810$	5.20800	−	0.819503i	0.182990	−	0.0287944i
$811$	−6.92893	+	6.92893i	−0.243308	+	0.243308i	−0.818217	−	0.574909i	$-0.805037\pi$
$811$	−6.92893	+	6.92893i	−0.243308	+	0.243308i	0.574909	+	0.818217i	$0.305037\pi$
$812$	0.189469	+	2.63896i	0.00664905	+	0.0926093i
$813$	−4.17157	+	5.89949i	−0.146303	+	0.206904i
$814$	22.5193	−	6.03403i	0.789302	−	0.211493i
$815$	1.10165	−	0.636039i	0.0385892	−	0.0222795i
$816$	2.43538	−	2.02445i	0.0852552	−	0.0708698i
$817$	38.5802	−	10.3375i	1.34975	−	0.361664i
$818$	−26.7279			−0.934520
$819$	9.73529	+	26.9114i	0.340179	+	0.940361i
$820$	−3.31371			−0.115720
$821$	−26.9488	+	7.22092i	−0.940521	+	0.252012i	−0.696335	−	0.717717i	$-0.745187\pi$
$821$	−26.9488	+	7.22092i	−0.940521	+	0.252012i	−0.244186	+	0.969728i	$0.578521\pi$
$822$	15.2032	−	12.6379i	0.530272	−	0.440797i
$823$	−0.420266	+	0.242641i	−0.0146496	+	0.00845792i	−0.507307	−	0.861765i	$-0.669359\pi$
$823$	−0.420266	+	0.242641i	−0.0146496	+	0.00845792i	0.492657	+	0.870223i	$0.336026\pi$
$824$	18.7929	−	5.03554i	0.654682	−	0.175421i
$825$	−27.1421	+	38.3848i	−0.944968	+	1.33639i
$826$	−22.5763	−	10.9592i	−0.785530	−	0.381321i
$827$	15.6777	−	15.6777i	0.545166	−	0.545166i	−0.379873	−	0.925039i	$-0.624032\pi$
$827$	15.6777	−	15.6777i	0.545166	−	0.545166i	0.925039	+	0.379873i	$0.124032\pi$
$828$	−19.4247	−	3.61025i	−0.675055	−	0.125465i
$829$	35.6301	−	20.5711i	1.23749	−	0.714463i	0.268906	−	0.963166i	$-0.413338\pi$
$829$	35.6301	−	20.5711i	1.23749	−	0.714463i	0.968580	+	0.248704i	$0.0800045\pi$
$830$	2.45747	+	0.658476i	0.0852999	+	0.0228560i
$831$	2.29668	−	6.22060i	0.0796708	−	0.215790i
$832$	−21.0000	−	14.0000i	−0.728044	−	0.485363i
$833$	−4.75039	+	11.8848i	−0.164591	+	0.411783i
$834$	−2.92893	+	4.14214i	−0.101421	+	0.143430i
$835$	6.43503	−	11.1458i	0.222693	−	0.385716i
$836$	19.3995	+	33.6009i	0.670946	+	1.16211i
$837$	−1.05646	−	4.17298i	−0.0365165	−	0.144239i
$838$	−4.38153	−	16.3521i	−0.151357	−	0.564874i
$839$	11.3934	−	11.3934i	0.393344	−	0.393344i	−0.482534	−	0.875877i	$-0.660283\pi$
$839$	11.3934	−	11.3934i	0.393344	−	0.393344i	0.875877	+	0.482534i	$0.160283\pi$
$840$	2.24108	−	7.73512i	0.0773247	−	0.266887i
$841$	28.0000			0.965517
$842$	−7.82843	+	13.5592i	−0.269785	+	0.467282i
$843$	−1.81393	+	19.6866i	−0.0624751	+	0.678043i
$844$	13.0519	−	7.53553i	0.449266	−	0.259384i
$845$	4.64848	+	6.03185i	0.159913	+	0.207502i
$846$	−1.85786	+	0.656854i	−0.0638747	+	0.0225831i
$847$	−34.0783	−	50.3209i	−1.17094	−	1.72905i
$848$			8.65685i			0.297278i
$849$	−10.6776	+	28.9206i	−0.366455	+	0.992552i
$850$	−8.22459	−	2.20377i	−0.282101	−	0.0755887i
$851$	6.81811	−	25.4455i	0.233722	−	0.872261i
$852$	−1.03332	+	0.476052i	−0.0354009	+	0.0163093i
$853$	−3.07107	−	3.07107i	−0.105151	−	0.105151i	0.652574	−	0.757725i	$-0.273689\pi$
$853$	−3.07107	−	3.07107i	−0.105151	−	0.105151i	−0.757725	+	0.652574i	$0.773689\pi$
$854$	−1.73205	+	2.00000i	−0.0592696	+	0.0684386i
$855$	−11.0294	+	3.89949i	−0.377199	+	0.133360i
$856$	19.7873	−	5.30198i	0.676315	−	0.181218i
$857$	−25.2990	−	43.8191i	−0.864197	−	1.49683i	−0.867842	−	0.496840i	$-0.834494\pi$
$857$	−25.2990	−	43.8191i	−0.864197	−	1.49683i	0.00364524	−	0.999993i	$-0.498840\pi$
$858$	−3.83345	−	36.1961i	−0.130872	−	1.23571i
$859$	9.89949	−	17.1464i	0.337766	−	0.585029i	−0.646246	−	0.763129i	$-0.723662\pi$
$859$	9.89949	−	17.1464i	0.337766	−	0.585029i	0.984012	+	0.178101i	$0.0569953\pi$
$860$	−2.48528	−	2.48528i	−0.0847474	−	0.0847474i
$861$	−22.1835	−	13.4125i	−0.756010	−	0.457095i
$862$			15.1716i			0.516746i
$863$	−47.9080	+	12.8369i	−1.63081	+	0.436973i	−0.954151	−	0.299327i	$-0.903238\pi$
$863$	−47.9080	+	12.8369i	−1.63081	+	0.436973i	−0.676656	+	0.736300i	$0.736571\pi$
$864$	25.1862	−	6.37628i	0.856851	−	0.216925i
$865$	−2.34777	+	8.76198i	−0.0798264	+	0.297916i
$866$	−1.33088	−	4.96692i	−0.0452252	−	0.168783i
$867$	4.00000	+	23.3137i	0.135847	+	0.791775i
$868$	−2.15232	−	0.414214i	−0.0730544	−	0.0140593i
$869$	5.82843	−	5.82843i	0.197716	−	0.197716i
$870$	0.951812	+	0.351414i	0.0322694	+	0.0119140i
$871$	−36.5223	+	32.0968i	−1.23751	+	1.08756i
$872$	−19.2627	+	11.1213i	−0.652317	+	0.376615i
$873$	16.8091	+	24.4837i	0.568902	+	0.828649i
$874$	−43.8406			−1.48293
$875$	−14.1421	+	4.89898i	−0.478091	+	0.165616i
$876$	18.1421	+	12.8284i	0.612966	+	0.433432i
$877$	8.88866	+	33.1729i	0.300149	+	1.12017i	0.937042	+	0.349218i	$0.113553\pi$
$877$	8.88866	+	33.1729i	0.300149	+	1.12017i	−0.636893	+	0.770952i	$0.719781\pi$
$878$	31.0469	+	8.31900i	1.04778	+	0.280753i
$879$	−2.05465	+	22.2991i	−0.0693016	+	0.752130i
$880$	−1.70711	+	2.95680i	−0.0575466	+	0.0996736i
$881$	2.00000			0.0673817			0.0336909	−	0.999432i	$-0.489274\pi$
$881$	2.00000			0.0673817			0.0336909	+	0.999432i	$0.489274\pi$
$882$	15.4371	−	14.2372i	0.519793	−	0.479390i
$883$		−	10.1421i		−	0.341310i	−0.985331	−	0.170655i	$-0.945412\pi$
$883$		−	10.1421i		−	0.341310i	0.985331	−	0.170655i	$-0.0545884\pi$
$884$	−5.90957	+	2.92197i	−0.198760	+	0.0982763i
$885$	7.40079	−	6.15203i	0.248775	−	0.206798i
$886$	−5.09244	−	1.36451i	−0.171084	−	0.0458418i
$887$	−21.7482	−	12.5563i	−0.730234	−	0.421601i	0.0882736	−	0.996096i	$-0.471865\pi$
$887$	−21.7482	−	12.5563i	−0.730234	−	0.421601i	−0.818508	+	0.574495i	$0.805198\pi$
$888$	3.51472	+	20.4853i	0.117946	+	0.687441i
$889$	18.6505	−	38.4205i	0.625519	−	1.28858i
$890$	5.17157	+	5.17157i	0.173352	+	0.173352i
$891$	42.4067	+	30.8754i	1.42068	+	1.03436i
$892$	1.29410	−	4.82963i	0.0433295	−	0.161708i
$893$	3.78677	−	2.18629i	0.126719	−	0.0731615i
$894$	8.68973	−	23.5363i	0.290628	−	0.787173i
$895$	0.627417	+	0.627417i	0.0209722	+	0.0209722i
$896$	1.50000	−	7.79423i	0.0501115	−	0.260387i
$897$	−37.5858	−	16.6985i	−1.25495	−	0.557546i
$898$	1.41421	−	2.44949i	0.0471929	−	0.0817405i
$899$	0.214413	−	0.800199i	0.00715106	−	0.0266881i
$900$	−10.6187	−	9.07849i	−0.353958	−	0.302616i
$901$	13.7078	+	7.91421i	0.456674	+	0.263661i
$902$	23.3137	+	23.3137i	0.776262	+	0.776262i
$903$	−6.57826	−	26.6969i	−0.218911	−	0.888418i
$904$	−19.0919	−	19.0919i	−0.634987	−	0.634987i
$905$	−1.38606	−	5.17286i	−0.0460743	−	0.171952i
$906$	21.9542	+	26.4105i	0.729378	+	0.877430i
$907$	26.9954	−	15.5858i	0.896367	−	0.517518i	0.0203470	−	0.999793i	$-0.493523\pi$
$907$	26.9954	−	15.5858i	0.896367	−	0.517518i	0.876020	+	0.482275i	$0.160190\pi$
$908$	1.55291	+	5.79555i	0.0515353	+	0.192332i
$909$	−11.3137	+	4.00000i	−0.375252	+	0.132672i
$910$	2.75877	−	4.85957i	0.0914523	−	0.161093i
$911$			52.4264i			1.73696i	0.495720	+	0.868482i	$0.334904\pi$
$911$			52.4264i			1.73696i	−0.495720	+	0.868482i	$0.665096\pi$
$912$	10.4721	−	4.82452i	0.346766	−	0.159756i
$913$	12.6569	+	21.9223i	0.418881	+	0.725523i
$914$	−2.22183	−	3.84831i	−0.0734915	−	0.127291i
$915$	−0.424546	−	0.921519i	−0.0140350	−	0.0304645i
$916$	−3.89949	+	3.89949i	−0.128843	+	0.128843i
$917$	−19.0318	−	28.1029i	−0.628485	−	0.928038i
$918$	−2.58579	+	9.14214i	−0.0853437	+	0.301735i
$919$	−2.17157	+	3.76127i	−0.0716336	+	0.124073i	−0.899617	−	0.436679i	$-0.856155\pi$
$919$	−2.17157	+	3.76127i	−0.0716336	+	0.124073i	0.827984	+	0.560752i	$0.189488\pi$
$920$	5.78680	+	10.0230i	0.190785	+	0.330449i
$921$	−8.62372	−	0.794593i	−0.284161	−	0.0261827i
$922$	34.3799	+	19.8492i	1.13224	+	0.653700i
$923$	−2.32233	+	0.464466i	−0.0764404	+	0.0152881i
$924$	23.3960	−	12.8845i	0.769671	−	0.423869i
$925$	13.1716	−	13.1716i	0.433079	−	0.433079i
$926$	4.89898	+	2.82843i	0.160990	+	0.0929479i
$927$	−12.6430	+	14.7880i	−0.415250	+	0.485701i
$928$	4.82963	+	1.29410i	0.158540	+	0.0424808i
$929$	24.6453	−	6.60370i	0.808587	−	0.216660i	0.169236	−	0.985576i	$-0.445870\pi$
$929$	24.6453	−	6.60370i	0.808587	−	0.216660i	0.639351	+	0.768915i	$0.279203\pi$
$930$	−0.485281	+	0.686292i	−0.0159130	+	0.0225044i
$931$	−27.9047	+	37.3189i	−0.914539	+	1.22308i
$932$			1.34315i			0.0439962i
$933$	−3.01874	−	1.11453i	−0.0988291	−	0.0364882i
$934$	−5.94522	+	22.1879i	−0.194534	+	0.726009i
$935$	3.12132	+	5.40629i	0.102078	+	0.176804i
$936$	32.4469	−	0.442399i	1.06056	−	0.0144603i
$937$	21.2843			0.695327			0.347663	−	0.937619i	$-0.386975\pi$
$937$	21.2843			0.695327			0.347663	+	0.937619i	$0.386975\pi$
$938$	32.0968	+	15.5808i	1.04800	+	0.508732i
$939$	−6.92893	−	40.3848i	−0.226117	−	1.31791i
$940$	−0.333226	−	0.192388i	−0.0108686	−	0.00627501i
$941$	−0.580438	+	2.16622i	−0.0189217	+	0.0706169i	−0.974741	−	0.223338i	$-0.928305\pi$
$941$	−0.580438	+	2.16622i	−0.0189217	+	0.0706169i	0.955819	+	0.293955i	$0.0949714\pi$
$942$	−3.15357	−	0.290571i	−0.102749	−	0.00946732i
$943$	35.9854	−	9.64226i	1.17185	−	0.313995i
$944$	−6.70711	+	6.70711i	−0.218298	+	0.218298i
$945$	2.53045	+	7.64535i	0.0823154	+	0.248703i
$946$			34.9706i			1.13699i
$947$	−6.86251	−	25.6113i	−0.223002	−	0.832254i	−0.983195	−	0.182557i	$-0.941563\pi$
$947$	−6.86251	−	25.6113i	−0.223002	−	0.832254i	0.760194	−	0.649697i	$-0.225104\pi$
$948$	1.56583	+	1.88366i	0.0508557	+	0.0611785i
$949$	30.5334	+	34.7433i	0.991158	+	1.12782i
$950$	−26.8468	−	15.5000i	−0.871025	−	0.502886i
$951$	16.9289	−	23.9411i	0.548958	−	0.776344i
$952$	10.9706	+	9.50079i	0.355558	+	0.307922i
$953$	−25.1421			−0.814434			−0.407217	−	0.913332i	$-0.633501\pi$
$953$	−25.1421			−0.814434			−0.407217	+	0.913332i	$0.633501\pi$
$954$	−14.6991	−	21.4104i	−0.475902	−	0.693188i
$955$	−9.60239	−	2.57295i	−0.310726	−	0.0832588i
$956$	−6.09857	−	1.63411i	−0.197242	−	0.0528508i
$957$	4.22412	+	9.16889i	0.136546	+	0.296388i
$958$	29.4853			0.952626
$959$	22.8284	+	19.7700i	0.737168	+	0.638407i
$960$	−5.79899	−	4.10051i	−0.187162	−	0.132343i
$961$	−26.2524	−	15.1569i	−0.846853	−	0.488931i
$962$	−0.928203	+	14.3923i	−0.0299265	+	0.464027i
$963$	−13.3119	+	15.5704i	−0.428972	+	0.501751i
$964$	−5.75682	−	21.4847i	−0.185415	−	0.691977i
$965$		−	1.65685i		−	0.0533360i
$966$	−0.609808	+	30.1737i	−0.0196202	+	0.970823i
$967$	17.3934	−	17.3934i	0.559334	−	0.559334i	−0.369784	−	0.929118i	$-0.620568\pi$
$967$	17.3934	−	17.3934i	0.559334	−	0.559334i	0.929118	+	0.369784i	$0.120568\pi$
$968$	−66.5636	+	17.8357i	−2.13943	+	0.573260i
$969$	1.93429	−	20.9929i	0.0621383	−	0.674388i
$970$	1.50089	−	5.60139i	0.0481906	−	0.179850i
$971$	17.2335	+	9.94975i	0.553048	+	0.319303i	0.750351	−	0.661040i	$-0.229885\pi$
$971$	17.2335	+	9.94975i	0.553048	+	0.319303i	−0.197302	+	0.980343i	$0.563218\pi$
$972$	−10.2929	+	11.7071i	−0.330145	+	0.375506i
$973$	−6.97127	−	3.38407i	−0.223489	−	0.108488i
$974$	−9.34315			−0.299374
$975$	−17.1127	−	23.5143i	−0.548045	−	0.753059i
$976$	0.500000	+	0.866025i	0.0160046	+	0.0277208i
$977$	11.7756	−	43.9472i	0.376735	−	1.40600i	−0.474058	−	0.880494i	$-0.657211\pi$
$977$	11.7756	−	43.9472i	0.376735	−	1.40600i	0.850793	−	0.525501i	$-0.176122\pi$
$978$	1.30273	−	3.52847i	0.0416566	−	0.112828i
$979$			72.7696i			2.32572i
$980$	4.07177	+	0.484577i	0.130068	+	0.0154793i
$981$	9.58579	−	20.0711i	0.306051	−	0.640820i
$982$	−8.89927	+	2.38455i	−0.283987	+	0.0760941i
$983$	51.1941	+	13.7174i	1.63284	+	0.437517i	0.954737	−	0.297452i	$-0.0961368\pi$
$983$	51.1941	+	13.7174i	1.63284	+	0.437517i	0.678100	+	0.734969i	$0.262803\pi$
$984$	−22.6040	+	18.7899i	−0.720588	+	0.599001i
$985$	−3.58719	−	2.07107i	−0.114298	−	0.0659897i
$986$	−1.29289	+	1.29289i	−0.0411741	+	0.0411741i
$987$	−1.45206	−	2.63669i	−0.0462197	−	0.0839267i
$988$	−23.5355	+	4.70711i	−0.748765	+	0.149753i
$989$	34.2208	+	19.7574i	1.08816	+	0.628247i
$990$	−0.798499	−	10.2115i	−0.0253780	−	0.324542i
$991$	−20.5355	−	35.5686i	−0.652333	−	1.12987i	−0.982555	−	0.185970i	$-0.940457\pi$
$991$	−20.5355	−	35.5686i	−0.652333	−	1.12987i	0.330223	−	0.943903i	$-0.392876\pi$
$992$	−2.07107	+	3.58719i	−0.0657565	+	0.113894i
$993$	33.1716	+	23.4558i	1.05267	+	0.744349i
$994$	0.974485	+	1.43895i	0.0309088	+	0.0456408i
$995$	6.24264	−	6.24264i	0.197905	−	0.197905i
$996$	−6.83234	+	3.14767i	−0.216491	+	0.0997378i
$997$	−14.0858	−	24.3973i	−0.446101	−	0.772670i	0.552027	−	0.833826i	$-0.313855\pi$
$997$	−14.0858	−	24.3973i	−0.446101	−	0.772670i	−0.998128	+	0.0611561i	$0.980521\pi$
$998$	−9.17157	−	15.8856i	−0.290321	−	0.502851i
$999$	−14.4921	−	14.8990i	−0.458509	−	0.471383i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.d.44.2	yes	8
3.2	odd	2		273.2.cd.c.44.1	✓	8
7.4	even	3	inner	273.2.cd.d.200.1	yes	8
13.8	odd	4		273.2.cd.c.86.2	yes	8
21.11	odd	6		273.2.cd.c.200.2	yes	8
39.8	even	4	inner	273.2.cd.d.86.1	yes	8
91.60	odd	12		273.2.cd.c.242.1	yes	8
273.242	even	12	inner	273.2.cd.d.242.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.c.44.1	✓	8	3.2	odd	2
273.2.cd.c.86.2	yes	8	13.8	odd	4
273.2.cd.c.200.2	yes	8	21.11	odd	6
273.2.cd.c.242.1	yes	8	91.60	odd	12
273.2.cd.d.44.2	yes	8	1.1	even	1	trivial
273.2.cd.d.86.1	yes	8	39.8	even	4	inner
273.2.cd.d.200.1	yes	8	7.4	even	3	inner
273.2.cd.d.242.2	yes	8	273.242	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.965926 - 0.258819i) q^{2} +(-1.33195 + 1.10721i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.565826 + 0.151613i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(-2.38014 - 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(0.548188 - 2.94949i) q^{9} +O(q^{10})\)	\(q+(0.965926 - 0.258819i) q^{2} +(-1.33195 + 1.10721i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.565826 + 0.151613i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(-2.38014 - 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(0.548188 - 2.94949i) q^{9} +(-0.507306 + 0.292893i) q^{10} +(-5.62983 - 1.50851i) q^{11} +(0.599900 - 1.62484i) q^{12} +(2.00000 - 3.00000i) q^{13} +(-2.59808 - 0.500000i) q^{14} +(0.585786 - 0.828427i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.914214 + 1.58346i) q^{17} +(-0.233875 - 2.99087i) q^{18} +(1.72292 + 6.43003i) q^{19} +(0.414214 - 0.414214i) q^{20} +(4.44949 - 1.09638i) q^{21} -5.82843 q^{22} +(-3.29289 + 5.70346i) q^{23} +(0.476756 - 5.17423i) q^{24} +(-4.03295 + 2.32843i) q^{25} +(1.15539 - 3.41542i) q^{26} +(2.53553 + 4.53553i) q^{27} +(2.63896 - 0.189469i) q^{28} +1.00000i q^{29} +(0.351414 - 0.951812i) q^{30} +(-0.800199 - 0.214413i) q^{31} +(1.29410 - 4.82963i) q^{32} +(9.16889 - 4.22412i) q^{33} +(1.29289 + 1.29289i) q^{34} +(1.52192 + 0.292893i) q^{35} +(1.00000 + 2.82843i) q^{36} +(-3.86370 + 1.03528i) q^{37} +(3.32843 + 5.76500i) q^{38} +(0.657717 + 6.21027i) q^{39} +(0.878680 - 1.52192i) q^{40} +(-4.00000 - 4.00000i) q^{41} +(4.01411 - 2.21063i) q^{42} -6.00000i q^{43} +(5.62983 - 1.50851i) q^{44} +(0.137001 + 1.75201i) q^{45} +(-1.70453 + 6.36138i) q^{46} +(-0.170006 - 0.634472i) q^{47} +(-0.292893 - 1.70711i) q^{48} +(4.33013 + 5.50000i) q^{49} +(-3.29289 + 3.29289i) q^{50} +(-2.97091 - 1.09687i) q^{51} +(-0.232051 + 3.59808i) q^{52} +(7.49706 - 4.32843i) q^{53} +(3.62302 + 3.72474i) q^{54} +3.41421 q^{55} +(7.50000 - 2.59808i) q^{56} +(-9.41421 - 6.65685i) q^{57} +(0.258819 + 0.965926i) q^{58} +(9.16208 + 2.45497i) q^{59} +(-0.0930924 + 1.01033i) q^{60} +(0.500000 - 0.866025i) q^{61} -0.828427 q^{62} +(-4.71259 + 6.38682i) q^{63} -7.00000i q^{64} +(-0.676814 + 2.00070i) q^{65} +(7.76318 - 6.45327i) q^{66} +(-13.0258 - 3.49025i) q^{67} +(-1.58346 - 0.914214i) q^{68} +(-1.92893 - 11.2426i) q^{69} +(1.54587 - 0.110988i) q^{70} +(-0.464466 - 0.464466i) q^{71} +(5.09393 + 7.41970i) q^{72} +(-3.32024 + 12.3913i) q^{73} +(-3.46410 + 2.00000i) q^{74} +(2.79365 - 7.56666i) q^{75} +(-4.70711 - 4.70711i) q^{76} +(11.6569 + 10.0951i) q^{77} +(2.24264 + 5.82843i) q^{78} +(-0.707107 + 1.22474i) q^{79} +(0.151613 - 0.565826i) q^{80} +(-8.39898 - 3.23375i) q^{81} +(-4.89898 - 2.82843i) q^{82} +(-3.07107 - 3.07107i) q^{83} +(-3.30518 + 3.17423i) q^{84} +(-0.757359 - 0.757359i) q^{85} +(-1.55291 - 5.79555i) q^{86} +(-1.10721 - 1.33195i) q^{87} +(15.1427 - 8.74264i) q^{88} +(-3.23143 - 12.0599i) q^{89} +(0.585786 + 1.65685i) q^{90} +(-8.22646 + 4.82963i) q^{91} -6.58579i q^{92} +(1.30323 - 0.600398i) q^{93} +(-0.328427 - 0.568852i) q^{94} +(-1.94975 - 3.37706i) q^{95} +(3.62372 + 7.86566i) q^{96} +(-7.00000 + 7.00000i) q^{97} +(5.60609 + 4.19187i) q^{98} +(-7.53553 + 15.7782i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6}+O(q^{10}) \) 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6	\( 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6} - 8 q^{11} + 4 q^{12} + 16 q^{13} + 16 q^{15} - 4 q^{16} - 4 q^{17} - 8 q^{18} - 16 q^{19} - 8 q^{20} + 16 q^{21} - 24 q^{22} - 32 q^{23} - 8 q^{27} + 4 q^{30} - 8 q^{31} + 16 q^{33} + 16 q^{34} + 8 q^{36} + 4 q^{38} + 20 q^{39} + 24 q^{40} - 32 q^{41} + 20 q^{42} + 8 q^{44} + 12 q^{45} - 4 q^{46} + 16 q^{47} - 8 q^{48} - 32 q^{50} + 12 q^{51} + 12 q^{52} + 16 q^{55} + 60 q^{56} - 64 q^{57} + 24 q^{59} - 8 q^{60} + 4 q^{61} + 16 q^{62} - 8 q^{63} + 20 q^{65} - 4 q^{66} - 24 q^{67} - 72 q^{69} - 16 q^{70} - 32 q^{71} - 24 q^{72} + 8 q^{73} + 12 q^{75} - 32 q^{76} + 48 q^{77} - 16 q^{78} + 4 q^{80} - 28 q^{81} + 32 q^{83} - 40 q^{85} - 4 q^{87} + 24 q^{89} + 16 q^{90} + 16 q^{93} + 20 q^{94} + 24 q^{95} - 20 q^{96} - 56 q^{97} - 32 q^{99}+O(q^{100}) \) 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6 - 8 * q^11 + 4 * q^12 + 16 * q^13 + 16 * q^15 - 4 * q^16 - 4 * q^17 - 8 * q^18 - 16 * q^19 - 8 * q^20 + 16 * q^21 - 24 * q^22 - 32 * q^23 - 8 * q^27 + 4 * q^30 - 8 * q^31 + 16 * q^33 + 16 * q^34 + 8 * q^36 + 4 * q^38 + 20 * q^39 + 24 * q^40 - 32 * q^41 + 20 * q^42 + 8 * q^44 + 12 * q^45 - 4 * q^46 + 16 * q^47 - 8 * q^48 - 32 * q^50 + 12 * q^51 + 12 * q^52 + 16 * q^55 + 60 * q^56 - 64 * q^57 + 24 * q^59 - 8 * q^60 + 4 * q^61 + 16 * q^62 - 8 * q^63 + 20 * q^65 - 4 * q^66 - 24 * q^67 - 72 * q^69 - 16 * q^70 - 32 * q^71 - 24 * q^72 + 8 * q^73 + 12 * q^75 - 32 * q^76 + 48 * q^77 - 16 * q^78 + 4 * q^80 - 28 * q^81 + 32 * q^83 - 40 * q^85 - 4 * q^87 + 24 * q^89 + 16 * q^90 + 16 * q^93 + 20 * q^94 + 24 * q^95 - 20 * q^96 - 56 * q^97 - 32 * q^99

Introduction

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